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Finding the Fourth Proportional to 3,753.78, 5,624.49 and 1,287.24

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Solution

The fourth proportional to 3,753.78, 5,624.49 and 1,287.24 is: 1,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.78 : 5,624.49 = 1,287.24 : x
  2. Step 2: Convert to fraction form
    3,753.78/5,624.49 = 1,287.24/x
  3. Step 3: Cross multiply
    3,753.78x = 5,624.49 × 1,287.24
  4. Step 4: Simplify right side
    3,753.78x = 7,240,068.51
  5. Step 5: Solve for x
    x = 7,240,068.51/3,753.78
  6. Step 6: Final answer
    x = 1,928.74

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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.