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Finding the Fourth Proportional to 13,527, 18,665.96 and 8,489.61

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Solution

The fourth proportional to 13,527, 18,665.96 and 8,489.61 is: 11,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527 : 18,665.96 = 8,489.61 : x
  2. Step 2: Convert to fraction form
    13,527/18,665.96 = 8,489.61/x
  3. Step 3: Cross multiply
    13,527x = 18,665.96 × 8,489.61
  4. Step 4: Simplify right side
    13,527x = 158,466,678.23
  5. Step 5: Solve for x
    x = 158,466,678.23/13,527
  6. Step 6: Final answer
    x = 11,714.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.