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Finding the Fourth Proportional to 40,242.84, 60,370.02 and 12,543

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Solution

The fourth proportional to 40,242.84, 60,370.02 and 12,543 is: 18,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,242.84 : 60,370.02 = 12,543 : x
  2. Step 2: Convert to fraction form
    40,242.84/60,370.02 = 12,543/x
  3. Step 3: Cross multiply
    40,242.84x = 60,370.02 × 12,543
  4. Step 4: Simplify right side
    40,242.84x = 757,221,160.86
  5. Step 5: Solve for x
    x = 757,221,160.86/40,242.84
  6. Step 6: Final answer
    x = 18,816.30

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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.