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Finding the Fourth Proportional to 3,646.70, 5,032.74 and 2,981.68

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Solution

The fourth proportional to 3,646.70, 5,032.74 and 2,981.68 is: 4,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.70 : 5,032.74 = 2,981.68 : x
  2. Step 2: Convert to fraction form
    3,646.70/5,032.74 = 2,981.68/x
  3. Step 3: Cross multiply
    3,646.70x = 5,032.74 × 2,981.68
  4. Step 4: Simplify right side
    3,646.70x = 15,006,020.20
  5. Step 5: Solve for x
    x = 15,006,020.20/3,646.70
  6. Step 6: Final answer
    x = 4,114.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.