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Finding the Fourth Proportional to 2,713.26, 4,070.44 and 981.76

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Solution

The fourth proportional to 2,713.26, 4,070.44 and 981.76 is: 1,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.26 : 4,070.44 = 981.76 : x
  2. Step 2: Convert to fraction form
    2,713.26/4,070.44 = 981.76/x
  3. Step 3: Cross multiply
    2,713.26x = 4,070.44 × 981.76
  4. Step 4: Simplify right side
    2,713.26x = 3,996,195.17
  5. Step 5: Solve for x
    x = 3,996,195.17/2,713.26
  6. Step 6: Final answer
    x = 1,472.84

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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.