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Finding the Fourth Proportional to 2,502.14, 3,753.20 and 1,040.63

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Solution

The fourth proportional to 2,502.14, 3,753.20 and 1,040.63 is: 1,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.14 : 3,753.20 = 1,040.63 : x
  2. Step 2: Convert to fraction form
    2,502.14/3,753.20 = 1,040.63/x
  3. Step 3: Cross multiply
    2,502.14x = 3,753.20 × 1,040.63
  4. Step 4: Simplify right side
    2,502.14x = 3,905,676.35
  5. Step 5: Solve for x
    x = 3,905,676.35/2,502.14
  6. Step 6: Final answer
    x = 1,560.94

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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.