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Finding the Fourth Proportional to 1,271.70, 1,902.34 and 961.24

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Solution

The fourth proportional to 1,271.70, 1,902.34 and 961.24 is: 1,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.70 : 1,902.34 = 961.24 : x
  2. Step 2: Convert to fraction form
    1,271.70/1,902.34 = 961.24/x
  3. Step 3: Cross multiply
    1,271.70x = 1,902.34 × 961.24
  4. Step 4: Simplify right side
    1,271.70x = 1,828,605.30
  5. Step 5: Solve for x
    x = 1,828,605.30/1,271.70
  6. Step 6: Final answer
    x = 1,437.92

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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.