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Finding the Fourth Proportional to 6,442.30, 9,713.14 and 6,402.32

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Solution

The fourth proportional to 6,442.30, 9,713.14 and 6,402.32 is: 9,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.30 : 9,713.14 = 6,402.32 : x
  2. Step 2: Convert to fraction form
    6,442.30/9,713.14 = 6,402.32/x
  3. Step 3: Cross multiply
    6,442.30x = 9,713.14 × 6,402.32
  4. Step 4: Simplify right side
    6,442.30x = 62,186,630.48
  5. Step 5: Solve for x
    x = 62,186,630.48/6,442.30
  6. Step 6: Final answer
    x = 9,652.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.