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Finding the Fourth Proportional to 27,998.60, 42,000.12 and 9,277.88

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Solution

The fourth proportional to 27,998.60, 42,000.12 and 9,277.88 is: 13,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.60 : 42,000.12 = 9,277.88 : x
  2. Step 2: Convert to fraction form
    27,998.60/42,000.12 = 9,277.88/x
  3. Step 3: Cross multiply
    27,998.60x = 42,000.12 × 9,277.88
  4. Step 4: Simplify right side
    27,998.60x = 389,672,073.35
  5. Step 5: Solve for x
    x = 389,672,073.35/27,998.60
  6. Step 6: Final answer
    x = 13,917.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.