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Finding the Fourth Proportional to 1,680, 2,511.98 and 1,532.96

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Solution

The fourth proportional to 1,680, 2,511.98 and 1,532.96 is: 2,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680 : 2,511.98 = 1,532.96 : x
  2. Step 2: Convert to fraction form
    1,680/2,511.98 = 1,532.96/x
  3. Step 3: Cross multiply
    1,680x = 2,511.98 × 1,532.96
  4. Step 4: Simplify right side
    1,680x = 3,850,764.86
  5. Step 5: Solve for x
    x = 3,850,764.86/1,680
  6. Step 6: Final answer
    x = 2,292.12

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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.