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Finding the Fourth Proportional to 2,712.47, 4,070.52 and 981.09

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Solution

The fourth proportional to 2,712.47, 4,070.52 and 981.09 is: 1,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.47 : 4,070.52 = 981.09 : x
  2. Step 2: Convert to fraction form
    2,712.47/4,070.52 = 981.09/x
  3. Step 3: Cross multiply
    2,712.47x = 4,070.52 × 981.09
  4. Step 4: Simplify right side
    2,712.47x = 3,993,546.47
  5. Step 5: Solve for x
    x = 3,993,546.47/2,712.47
  6. Step 6: Final answer
    x = 1,472.29

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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.