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Finding the Fourth Proportional to 10,565.57, 15,848.87 and 8,713.31

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Solution

The fourth proportional to 10,565.57, 15,848.87 and 8,713.31 is: 13,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.57 : 15,848.87 = 8,713.31 : x
  2. Step 2: Convert to fraction form
    10,565.57/15,848.87 = 8,713.31/x
  3. Step 3: Cross multiply
    10,565.57x = 15,848.87 × 8,713.31
  4. Step 4: Simplify right side
    10,565.57x = 138,095,994.65
  5. Step 5: Solve for x
    x = 138,095,994.65/10,565.57
  6. Step 6: Final answer
    x = 13,070.37

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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.