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Finding the Fourth Proportional to 13,527, 20,283.48 and 5,209.92

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Solution

The fourth proportional to 13,527, 20,283.48 and 5,209.92 is: 7,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527 : 20,283.48 = 5,209.92 : x
  2. Step 2: Convert to fraction form
    13,527/20,283.48 = 5,209.92/x
  3. Step 3: Cross multiply
    13,527x = 20,283.48 × 5,209.92
  4. Step 4: Simplify right side
    13,527x = 105,675,308.12
  5. Step 5: Solve for x
    x = 105,675,308.12/13,527
  6. Step 6: Final answer
    x = 7,812.18

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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.