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Finding the Fourth Proportional to 3,981.47, 5,972.16 and 1,019.90

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Solution

The fourth proportional to 3,981.47, 5,972.16 and 1,019.90 is: 1,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.47 : 5,972.16 = 1,019.90 : x
  2. Step 2: Convert to fraction form
    3,981.47/5,972.16 = 1,019.90/x
  3. Step 3: Cross multiply
    3,981.47x = 5,972.16 × 1,019.90
  4. Step 4: Simplify right side
    3,981.47x = 6,091,024.74
  5. Step 5: Solve for x
    x = 6,091,024.74/3,981.47
  6. Step 6: Final answer
    x = 1,529.85

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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.