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Finding the Fourth Proportional to 4,302.46, 6,454.50 and 1,380.52

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Solution

The fourth proportional to 4,302.46, 6,454.50 and 1,380.52 is: 2,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.46 : 6,454.50 = 1,380.52 : x
  2. Step 2: Convert to fraction form
    4,302.46/6,454.50 = 1,380.52/x
  3. Step 3: Cross multiply
    4,302.46x = 6,454.50 × 1,380.52
  4. Step 4: Simplify right side
    4,302.46x = 8,910,566.34
  5. Step 5: Solve for x
    x = 8,910,566.34/4,302.46
  6. Step 6: Final answer
    x = 2,071.04

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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.