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Finding the Fourth Proportional to 1,744.37, 2,407.10 and 987.93

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Solution

The fourth proportional to 1,744.37, 2,407.10 and 987.93 is: 1,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.37 : 2,407.10 = 987.93 : x
  2. Step 2: Convert to fraction form
    1,744.37/2,407.10 = 987.93/x
  3. Step 3: Cross multiply
    1,744.37x = 2,407.10 × 987.93
  4. Step 4: Simplify right side
    1,744.37x = 2,378,046.30
  5. Step 5: Solve for x
    x = 2,378,046.30/1,744.37
  6. Step 6: Final answer
    x = 1,363.27

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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.