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Finding the Fourth Proportional to 8,534.72, 12,785.12 and 6,677.16

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Solution

The fourth proportional to 8,534.72, 12,785.12 and 6,677.16 is: 10,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.72 : 12,785.12 = 6,677.16 : x
  2. Step 2: Convert to fraction form
    8,534.72/12,785.12 = 6,677.16/x
  3. Step 3: Cross multiply
    8,534.72x = 12,785.12 × 6,677.16
  4. Step 4: Simplify right side
    8,534.72x = 85,368,291.86
  5. Step 5: Solve for x
    x = 85,368,291.86/8,534.72
  6. Step 6: Final answer
    x = 10,002.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.