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Finding the Fourth Proportional to 1,691.72, 2,537.58 and 1,430.95

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Solution

The fourth proportional to 1,691.72, 2,537.58 and 1,430.95 is: 2,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.72 : 2,537.58 = 1,430.95 : x
  2. Step 2: Convert to fraction form
    1,691.72/2,537.58 = 1,430.95/x
  3. Step 3: Cross multiply
    1,691.72x = 2,537.58 × 1,430.95
  4. Step 4: Simplify right side
    1,691.72x = 3,631,149.53
  5. Step 5: Solve for x
    x = 3,631,149.53/1,691.72
  6. Step 6: Final answer
    x = 2,146.43

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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.