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Finding the Fourth Proportional to 1,487.70, 2,231.82 and 970.92

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Solution

The fourth proportional to 1,487.70, 2,231.82 and 970.92 is: 1,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.70 : 2,231.82 = 970.92 : x
  2. Step 2: Convert to fraction form
    1,487.70/2,231.82 = 970.92/x
  3. Step 3: Cross multiply
    1,487.70x = 2,231.82 × 970.92
  4. Step 4: Simplify right side
    1,487.70x = 2,166,918.67
  5. Step 5: Solve for x
    x = 2,166,918.67/1,487.70
  6. Step 6: Final answer
    x = 1,456.56

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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.