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Finding the Fourth Proportional to 7,144.32, 9,836.80 and 6,488.22

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Solution

The fourth proportional to 7,144.32, 9,836.80 and 6,488.22 is: 8,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.32 : 9,836.80 = 6,488.22 : x
  2. Step 2: Convert to fraction form
    7,144.32/9,836.80 = 6,488.22/x
  3. Step 3: Cross multiply
    7,144.32x = 9,836.80 × 6,488.22
  4. Step 4: Simplify right side
    7,144.32x = 63,823,322.50
  5. Step 5: Solve for x
    x = 63,823,322.50/7,144.32
  6. Step 6: Final answer
    x = 8,933.44

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Half scale
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Double scale
Find fourth proportional to 7,145.32, 9,838.18 and 6,489.22
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.