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Finding the Fourth Proportional to 40,382.75, 60,574.16 and 12,680.75

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Solution

The fourth proportional to 40,382.75, 60,574.16 and 12,680.75 is: 19,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,382.75 : 60,574.16 = 12,680.75 : x
  2. Step 2: Convert to fraction form
    40,382.75/60,574.16 = 12,680.75/x
  3. Step 3: Cross multiply
    40,382.75x = 60,574.16 × 12,680.75
  4. Step 4: Simplify right side
    40,382.75x = 768,125,962.56
  5. Step 5: Solve for x
    x = 768,125,962.56/40,382.75
  6. Step 6: Final answer
    x = 19,021.14

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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.