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Finding the Fourth Proportional to 8,687.86, 13,032.14 and 4,470

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Solution

The fourth proportional to 8,687.86, 13,032.14 and 4,470 is: 6,705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.86 : 13,032.14 = 4,470 : x
  2. Step 2: Convert to fraction form
    8,687.86/13,032.14 = 4,470/x
  3. Step 3: Cross multiply
    8,687.86x = 13,032.14 × 4,470
  4. Step 4: Simplify right side
    8,687.86x = 58,253,665.80
  5. Step 5: Solve for x
    x = 58,253,665.80/8,687.86
  6. Step 6: Final answer
    x = 6,705.18

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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.