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Finding the Fourth Proportional to 6,397.86, 9,553.62 and 5,230.16

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Solution

The fourth proportional to 6,397.86, 9,553.62 and 5,230.16 is: 7,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.86 : 9,553.62 = 5,230.16 : x
  2. Step 2: Convert to fraction form
    6,397.86/9,553.62 = 5,230.16/x
  3. Step 3: Cross multiply
    6,397.86x = 9,553.62 × 5,230.16
  4. Step 4: Simplify right side
    6,397.86x = 49,966,961.18
  5. Step 5: Solve for x
    x = 49,966,961.18/6,397.86
  6. Step 6: Final answer
    x = 7,809.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.