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Finding the Fourth Proportional to 3,417.68, 5,126.70 and 1,109

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Solution

The fourth proportional to 3,417.68, 5,126.70 and 1,109 is: 1,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.68 : 5,126.70 = 1,109 : x
  2. Step 2: Convert to fraction form
    3,417.68/5,126.70 = 1,109/x
  3. Step 3: Cross multiply
    3,417.68x = 5,126.70 × 1,109
  4. Step 4: Simplify right side
    3,417.68x = 5,685,510.30
  5. Step 5: Solve for x
    x = 5,685,510.30/3,417.68
  6. Step 6: Final answer
    x = 1,663.56

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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.