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Finding the Fourth Proportional to 13,442, 18,550.04 and 7,851.92

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Solution

The fourth proportional to 13,442, 18,550.04 and 7,851.92 is: 10,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442 : 18,550.04 = 7,851.92 : x
  2. Step 2: Convert to fraction form
    13,442/18,550.04 = 7,851.92/x
  3. Step 3: Cross multiply
    13,442x = 18,550.04 × 7,851.92
  4. Step 4: Simplify right side
    13,442x = 145,653,430.08
  5. Step 5: Solve for x
    x = 145,653,430.08/13,442
  6. Step 6: Final answer
    x = 10,835.70

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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.