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Finding the Fourth Proportional to 8,565.56, 12,829.77 and 8,356.49

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Solution

The fourth proportional to 8,565.56, 12,829.77 and 8,356.49 is: 12,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.56 : 12,829.77 = 8,356.49 : x
  2. Step 2: Convert to fraction form
    8,565.56/12,829.77 = 8,356.49/x
  3. Step 3: Cross multiply
    8,565.56x = 12,829.77 × 8,356.49
  4. Step 4: Simplify right side
    8,565.56x = 107,211,844.71
  5. Step 5: Solve for x
    x = 107,211,844.71/8,565.56
  6. Step 6: Final answer
    x = 12,516.62

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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.