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Finding the Fourth Proportional to 3,432.96, 4,737.20 and 1,940.80

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Solution

The fourth proportional to 3,432.96, 4,737.20 and 1,940.80 is: 2,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.96 : 4,737.20 = 1,940.80 : x
  2. Step 2: Convert to fraction form
    3,432.96/4,737.20 = 1,940.80/x
  3. Step 3: Cross multiply
    3,432.96x = 4,737.20 × 1,940.80
  4. Step 4: Simplify right side
    3,432.96x = 9,193,957.76
  5. Step 5: Solve for x
    x = 9,193,957.76/3,432.96
  6. Step 6: Final answer
    x = 2,678.14

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1.5x scale

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.