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Finding the Fourth Proportional to 27,012, 40,536 and 10,385.76

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Solution

The fourth proportional to 27,012, 40,536 and 10,385.76 is: 15,585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,012 : 40,536 = 10,385.76 : x
  2. Step 2: Convert to fraction form
    27,012/40,536 = 10,385.76/x
  3. Step 3: Cross multiply
    27,012x = 40,536 × 10,385.76
  4. Step 4: Simplify right side
    27,012x = 420,997,167.36
  5. Step 5: Solve for x
    x = 420,997,167.36/27,012
  6. Step 6: Final answer
    x = 15,585.56

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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.