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Finding the Fourth Proportional to 1,237.48, 1,854.29 and 825.09

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Solution

The fourth proportional to 1,237.48, 1,854.29 and 825.09 is: 1,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.48 : 1,854.29 = 825.09 : x
  2. Step 2: Convert to fraction form
    1,237.48/1,854.29 = 825.09/x
  3. Step 3: Cross multiply
    1,237.48x = 1,854.29 × 825.09
  4. Step 4: Simplify right side
    1,237.48x = 1,529,951.25
  5. Step 5: Solve for x
    x = 1,529,951.25/1,237.48
  6. Step 6: Final answer
    x = 1,236.35

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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.