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Finding the Fourth Proportional to 3,753.89, 5,630.84 and 980.56

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Solution

The fourth proportional to 3,753.89, 5,630.84 and 980.56 is: 1,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.89 : 5,630.84 = 980.56 : x
  2. Step 2: Convert to fraction form
    3,753.89/5,630.84 = 980.56/x
  3. Step 3: Cross multiply
    3,753.89x = 5,630.84 × 980.56
  4. Step 4: Simplify right side
    3,753.89x = 5,521,376.47
  5. Step 5: Solve for x
    x = 5,521,376.47/3,753.89
  6. Step 6: Final answer
    x = 1,470.84

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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.