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Finding the Fourth Proportional to 8,766.70, 13,138.05 and 5,637.10

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Solution

The fourth proportional to 8,766.70, 13,138.05 and 5,637.10 is: 8,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766.70 : 13,138.05 = 5,637.10 : x
  2. Step 2: Convert to fraction form
    8,766.70/13,138.05 = 5,637.10/x
  3. Step 3: Cross multiply
    8,766.70x = 13,138.05 × 5,637.10
  4. Step 4: Simplify right side
    8,766.70x = 74,060,501.66
  5. Step 5: Solve for x
    x = 74,060,501.66/8,766.70
  6. Step 6: Final answer
    x = 8,447.93

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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.