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Finding the Fourth Proportional to 13,877.52, 19,151 and 7,589.89

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Solution

The fourth proportional to 13,877.52, 19,151 and 7,589.89 is: 10,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.52 : 19,151 = 7,589.89 : x
  2. Step 2: Convert to fraction form
    13,877.52/19,151 = 7,589.89/x
  3. Step 3: Cross multiply
    13,877.52x = 19,151 × 7,589.89
  4. Step 4: Simplify right side
    13,877.52x = 145,353,983.39
  5. Step 5: Solve for x
    x = 145,353,983.39/13,877.52
  6. Step 6: Final answer
    x = 10,474.06

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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.