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Finding the Fourth Proportional to 13,524, 18,663.36 and 7,934.88

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Solution

The fourth proportional to 13,524, 18,663.36 and 7,934.88 is: 10,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524 : 18,663.36 = 7,934.88 : x
  2. Step 2: Convert to fraction form
    13,524/18,663.36 = 7,934.88/x
  3. Step 3: Cross multiply
    13,524x = 18,663.36 × 7,934.88
  4. Step 4: Simplify right side
    13,524x = 148,091,522.00
  5. Step 5: Solve for x
    x = 148,091,522.00/13,524
  6. Step 6: Final answer
    x = 10,950.28

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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.