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Finding the Fourth Proportional to 2,502, 3,750.98 and 1,042.25

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Solution

The fourth proportional to 2,502, 3,750.98 and 1,042.25 is: 1,562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502 : 3,750.98 = 1,042.25 : x
  2. Step 2: Convert to fraction form
    2,502/3,750.98 = 1,042.25/x
  3. Step 3: Cross multiply
    2,502x = 3,750.98 × 1,042.25
  4. Step 4: Simplify right side
    2,502x = 3,909,434.94
  5. Step 5: Solve for x
    x = 3,909,434.94/2,502
  6. Step 6: Final answer
    x = 1,562.52

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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.