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Finding the Fourth Proportional to 13,489.52, 18,617.98 and 7,827.88

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Solution

The fourth proportional to 13,489.52, 18,617.98 and 7,827.88 is: 10,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.52 : 18,617.98 = 7,827.88 : x
  2. Step 2: Convert to fraction form
    13,489.52/18,617.98 = 7,827.88/x
  3. Step 3: Cross multiply
    13,489.52x = 18,617.98 × 7,827.88
  4. Step 4: Simplify right side
    13,489.52x = 145,739,313.28
  5. Step 5: Solve for x
    x = 145,739,313.28/13,489.52
  6. Step 6: Final answer
    x = 10,803.89

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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.