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Finding the Fourth Proportional to 6,398.71, 8,829.99 and 3,565.93

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Solution

The fourth proportional to 6,398.71, 8,829.99 and 3,565.93 is: 4,920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.71 : 8,829.99 = 3,565.93 : x
  2. Step 2: Convert to fraction form
    6,398.71/8,829.99 = 3,565.93/x
  3. Step 3: Cross multiply
    6,398.71x = 8,829.99 × 3,565.93
  4. Step 4: Simplify right side
    6,398.71x = 31,487,126.24
  5. Step 5: Solve for x
    x = 31,487,126.24/6,398.71
  6. Step 6: Final answer
    x = 4,920.86

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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.