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Finding the Fourth Proportional to 3,689.76, 5,525.76 and 2,125.02

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Solution

The fourth proportional to 3,689.76, 5,525.76 and 2,125.02 is: 3,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.76 : 5,525.76 = 2,125.02 : x
  2. Step 2: Convert to fraction form
    3,689.76/5,525.76 = 2,125.02/x
  3. Step 3: Cross multiply
    3,689.76x = 5,525.76 × 2,125.02
  4. Step 4: Simplify right side
    3,689.76x = 11,742,350.52
  5. Step 5: Solve for x
    x = 11,742,350.52/3,689.76
  6. Step 6: Final answer
    x = 3,182.42

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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.