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Finding the Fourth Proportional to 3,721.76, 5,578.72 and 1,254.24

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Solution

The fourth proportional to 3,721.76, 5,578.72 and 1,254.24 is: 1,880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.76 : 5,578.72 = 1,254.24 : x
  2. Step 2: Convert to fraction form
    3,721.76/5,578.72 = 1,254.24/x
  3. Step 3: Cross multiply
    3,721.76x = 5,578.72 × 1,254.24
  4. Step 4: Simplify right side
    3,721.76x = 6,997,053.77
  5. Step 5: Solve for x
    x = 6,997,053.77/3,721.76
  6. Step 6: Final answer
    x = 1,880.04

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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.