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Finding the Fourth Proportional to 1,237.72, 1,695.05 and 1,221.52

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Solution

The fourth proportional to 1,237.72, 1,695.05 and 1,221.52 is: 1,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.72 : 1,695.05 = 1,221.52 : x
  2. Step 2: Convert to fraction form
    1,237.72/1,695.05 = 1,221.52/x
  3. Step 3: Cross multiply
    1,237.72x = 1,695.05 × 1,221.52
  4. Step 4: Simplify right side
    1,237.72x = 2,070,537.48
  5. Step 5: Solve for x
    x = 2,070,537.48/1,237.72
  6. Step 6: Final answer
    x = 1,672.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.