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Finding the Fourth Proportional to 1,101.65, 1,517.56 and 943.76

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Solution

The fourth proportional to 1,101.65, 1,517.56 and 943.76 is: 1,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.65 : 1,517.56 = 943.76 : x
  2. Step 2: Convert to fraction form
    1,101.65/1,517.56 = 943.76/x
  3. Step 3: Cross multiply
    1,101.65x = 1,517.56 × 943.76
  4. Step 4: Simplify right side
    1,101.65x = 1,432,213.86
  5. Step 5: Solve for x
    x = 1,432,213.86/1,101.65
  6. Step 6: Final answer
    x = 1,300.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.