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Finding the Fourth Proportional to 3,721.76, 5,583 and 1,124.24

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Solution

The fourth proportional to 3,721.76, 5,583 and 1,124.24 is: 1,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.76 : 5,583 = 1,124.24 : x
  2. Step 2: Convert to fraction form
    3,721.76/5,583 = 1,124.24/x
  3. Step 3: Cross multiply
    3,721.76x = 5,583 × 1,124.24
  4. Step 4: Simplify right side
    3,721.76x = 6,276,631.92
  5. Step 5: Solve for x
    x = 6,276,631.92/3,721.76
  6. Step 6: Final answer
    x = 1,686.47

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1.5x scale

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.