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Finding the Fourth Proportional to 6,407.28, 9,616.32 and 6,358.68

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Solution

The fourth proportional to 6,407.28, 9,616.32 and 6,358.68 is: 9,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.28 : 9,616.32 = 6,358.68 : x
  2. Step 2: Convert to fraction form
    6,407.28/9,616.32 = 6,358.68/x
  3. Step 3: Cross multiply
    6,407.28x = 9,616.32 × 6,358.68
  4. Step 4: Simplify right side
    6,407.28x = 61,147,101.66
  5. Step 5: Solve for x
    x = 61,147,101.66/6,407.28
  6. Step 6: Final answer
    x = 9,543.38

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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.