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Finding the Fourth Proportional to 27,426.72, 41,142 and 13,572

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Solution

The fourth proportional to 27,426.72, 41,142 and 13,572 is: 20,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,426.72 : 41,142 = 13,572 : x
  2. Step 2: Convert to fraction form
    27,426.72/41,142 = 13,572/x
  3. Step 3: Cross multiply
    27,426.72x = 41,142 × 13,572
  4. Step 4: Simplify right side
    27,426.72x = 558,379,224
  5. Step 5: Solve for x
    x = 558,379,224/27,426.72
  6. Step 6: Final answer
    x = 20,358.95

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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.