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Finding the Fourth Proportional to 13,239.60, 19,851.84 and 5,442

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Solution

The fourth proportional to 13,239.60, 19,851.84 and 5,442 is: 8,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,239.60 : 19,851.84 = 5,442 : x
  2. Step 2: Convert to fraction form
    13,239.60/19,851.84 = 5,442/x
  3. Step 3: Cross multiply
    13,239.60x = 19,851.84 × 5,442
  4. Step 4: Simplify right side
    13,239.60x = 108,033,713.28
  5. Step 5: Solve for x
    x = 108,033,713.28/13,239.60
  6. Step 6: Final answer
    x = 8,159.89

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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.