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Finding the Fourth Proportional to 9,965.32, 13,751.84 and 5,489.05

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Solution

The fourth proportional to 9,965.32, 13,751.84 and 5,489.05 is: 7,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.32 : 13,751.84 = 5,489.05 : x
  2. Step 2: Convert to fraction form
    9,965.32/13,751.84 = 5,489.05/x
  3. Step 3: Cross multiply
    9,965.32x = 13,751.84 × 5,489.05
  4. Step 4: Simplify right side
    9,965.32x = 75,484,537.35
  5. Step 5: Solve for x
    x = 75,484,537.35/9,965.32
  6. Step 6: Final answer
    x = 7,574.72

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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.