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Finding the Fourth Proportional to 3,689.52, 5,536.68 and 1,381

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Solution

The fourth proportional to 3,689.52, 5,536.68 and 1,381 is: 2,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.52 : 5,536.68 = 1,381 : x
  2. Step 2: Convert to fraction form
    3,689.52/5,536.68 = 1,381/x
  3. Step 3: Cross multiply
    3,689.52x = 5,536.68 × 1,381
  4. Step 4: Simplify right side
    3,689.52x = 7,646,155.08
  5. Step 5: Solve for x
    x = 7,646,155.08/3,689.52
  6. Step 6: Final answer
    x = 2,072.40

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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.