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Finding the Fourth Proportional to 13,760, 18,988.80 and 7,472.40

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Solution

The fourth proportional to 13,760, 18,988.80 and 7,472.40 is: 10,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760 : 18,988.80 = 7,472.40 : x
  2. Step 2: Convert to fraction form
    13,760/18,988.80 = 7,472.40/x
  3. Step 3: Cross multiply
    13,760x = 18,988.80 × 7,472.40
  4. Step 4: Simplify right side
    13,760x = 141,891,909.12
  5. Step 5: Solve for x
    x = 141,891,909.12/13,760
  6. Step 6: Final answer
    x = 10,311.91

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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.