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Finding the Fourth Proportional to 1,546.71, 2,308.82 and 1,432.50

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Solution

The fourth proportional to 1,546.71, 2,308.82 and 1,432.50 is: 2,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.71 : 2,308.82 = 1,432.50 : x
  2. Step 2: Convert to fraction form
    1,546.71/2,308.82 = 1,432.50/x
  3. Step 3: Cross multiply
    1,546.71x = 2,308.82 × 1,432.50
  4. Step 4: Simplify right side
    1,546.71x = 3,307,377.49
  5. Step 5: Solve for x
    x = 3,307,377.49/1,546.71
  6. Step 6: Final answer
    x = 2,138.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.