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Finding the Fourth Proportional to 6,284.40, 9,437.40 and 4,102.80

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Solution

The fourth proportional to 6,284.40, 9,437.40 and 4,102.80 is: 6,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.40 : 9,437.40 = 4,102.80 : x
  2. Step 2: Convert to fraction form
    6,284.40/9,437.40 = 4,102.80/x
  3. Step 3: Cross multiply
    6,284.40x = 9,437.40 × 4,102.80
  4. Step 4: Simplify right side
    6,284.40x = 38,719,764.72
  5. Step 5: Solve for x
    x = 38,719,764.72/6,284.40
  6. Step 6: Final answer
    x = 6,161.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.