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Finding the Fourth Proportional to 3,539.76, 5,306.18 and 1,980.52

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Solution

The fourth proportional to 3,539.76, 5,306.18 and 1,980.52 is: 2,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.76 : 5,306.18 = 1,980.52 : x
  2. Step 2: Convert to fraction form
    3,539.76/5,306.18 = 1,980.52/x
  3. Step 3: Cross multiply
    3,539.76x = 5,306.18 × 1,980.52
  4. Step 4: Simplify right side
    3,539.76x = 10,508,995.61
  5. Step 5: Solve for x
    x = 10,508,995.61/3,539.76
  6. Step 6: Final answer
    x = 2,968.84

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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.