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Finding the Fourth Proportional to 1,279.87, 1,914.81 and 972.61

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Solution

The fourth proportional to 1,279.87, 1,914.81 and 972.61 is: 1,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.87 : 1,914.81 = 972.61 : x
  2. Step 2: Convert to fraction form
    1,279.87/1,914.81 = 972.61/x
  3. Step 3: Cross multiply
    1,279.87x = 1,914.81 × 972.61
  4. Step 4: Simplify right side
    1,279.87x = 1,862,363.35
  5. Step 5: Solve for x
    x = 1,862,363.35/1,279.87
  6. Step 6: Final answer
    x = 1,455.12

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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.