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Finding the Fourth Proportional to 1,749.70, 2,414.70 and 1,003.90

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Solution

The fourth proportional to 1,749.70, 2,414.70 and 1,003.90 is: 1,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.70 : 2,414.70 = 1,003.90 : x
  2. Step 2: Convert to fraction form
    1,749.70/2,414.70 = 1,003.90/x
  3. Step 3: Cross multiply
    1,749.70x = 2,414.70 × 1,003.90
  4. Step 4: Simplify right side
    1,749.70x = 2,424,117.33
  5. Step 5: Solve for x
    x = 2,424,117.33/1,749.70
  6. Step 6: Final answer
    x = 1,385.45

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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.