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Finding the Fourth Proportional to 8,599.54, 12,899.29 and 5,677.15

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Solution

The fourth proportional to 8,599.54, 12,899.29 and 5,677.15 is: 8,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.54 : 12,899.29 = 5,677.15 : x
  2. Step 2: Convert to fraction form
    8,599.54/12,899.29 = 5,677.15/x
  3. Step 3: Cross multiply
    8,599.54x = 12,899.29 × 5,677.15
  4. Step 4: Simplify right side
    8,599.54x = 73,231,111.34
  5. Step 5: Solve for x
    x = 73,231,111.34/8,599.54
  6. Step 6: Final answer
    x = 8,515.71

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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.