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Finding the Fourth Proportional to 2,077.84, 3,115.32 and 981.28

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Solution

The fourth proportional to 2,077.84, 3,115.32 and 981.28 is: 1,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.84 : 3,115.32 = 981.28 : x
  2. Step 2: Convert to fraction form
    2,077.84/3,115.32 = 981.28/x
  3. Step 3: Cross multiply
    2,077.84x = 3,115.32 × 981.28
  4. Step 4: Simplify right side
    2,077.84x = 3,057,001.21
  5. Step 5: Solve for x
    x = 3,057,001.21/2,077.84
  6. Step 6: Final answer
    x = 1,471.24

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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.