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Finding the Fourth Proportional to 1,744, 2,405.89 and 1,545.03

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Solution

The fourth proportional to 1,744, 2,405.89 and 1,545.03 is: 2,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744 : 2,405.89 = 1,545.03 : x
  2. Step 2: Convert to fraction form
    1,744/2,405.89 = 1,545.03/x
  3. Step 3: Cross multiply
    1,744x = 2,405.89 × 1,545.03
  4. Step 4: Simplify right side
    1,744x = 3,717,172.23
  5. Step 5: Solve for x
    x = 3,717,172.23/1,744
  6. Step 6: Final answer
    x = 2,131.41

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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.