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Finding the Fourth Proportional to 3,602.49, 5,399.72 and 1,521.87

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Solution

The fourth proportional to 3,602.49, 5,399.72 and 1,521.87 is: 2,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.49 : 5,399.72 = 1,521.87 : x
  2. Step 2: Convert to fraction form
    3,602.49/5,399.72 = 1,521.87/x
  3. Step 3: Cross multiply
    3,602.49x = 5,399.72 × 1,521.87
  4. Step 4: Simplify right side
    3,602.49x = 8,217,671.88
  5. Step 5: Solve for x
    x = 8,217,671.88/3,602.49
  6. Step 6: Final answer
    x = 2,281.11

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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.