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Finding the Fourth Proportional to 10,565.76, 15,817.06 and 6,393.15

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Solution

The fourth proportional to 10,565.76, 15,817.06 and 6,393.15 is: 9,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.76 : 15,817.06 = 6,393.15 : x
  2. Step 2: Convert to fraction form
    10,565.76/15,817.06 = 6,393.15/x
  3. Step 3: Cross multiply
    10,565.76x = 15,817.06 × 6,393.15
  4. Step 4: Simplify right side
    10,565.76x = 101,120,837.14
  5. Step 5: Solve for x
    x = 101,120,837.14/10,565.76
  6. Step 6: Final answer
    x = 9,570.62

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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.