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Finding the Fourth Proportional to 9,397.28, 12,978.88 and 6,407.96

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Solution

The fourth proportional to 9,397.28, 12,978.88 and 6,407.96 is: 8,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.28 : 12,978.88 = 6,407.96 : x
  2. Step 2: Convert to fraction form
    9,397.28/12,978.88 = 6,407.96/x
  3. Step 3: Cross multiply
    9,397.28x = 12,978.88 × 6,407.96
  4. Step 4: Simplify right side
    9,397.28x = 83,168,143.88
  5. Step 5: Solve for x
    x = 83,168,143.88/9,397.28
  6. Step 6: Final answer
    x = 8,850.24

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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.