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Finding the Fourth Proportional to 3,646.31, 5,458.14 and 2,947.14

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Solution

The fourth proportional to 3,646.31, 5,458.14 and 2,947.14 is: 4,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.31 : 5,458.14 = 2,947.14 : x
  2. Step 2: Convert to fraction form
    3,646.31/5,458.14 = 2,947.14/x
  3. Step 3: Cross multiply
    3,646.31x = 5,458.14 × 2,947.14
  4. Step 4: Simplify right side
    3,646.31x = 16,085,902.72
  5. Step 5: Solve for x
    x = 16,085,902.72/3,646.31
  6. Step 6: Final answer
    x = 4,411.56

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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.