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Finding the Fourth Proportional to 1,279.47, 1,915.57 and 1,084.47

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Solution

The fourth proportional to 1,279.47, 1,915.57 and 1,084.47 is: 1,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.47 : 1,915.57 = 1,084.47 : x
  2. Step 2: Convert to fraction form
    1,279.47/1,915.57 = 1,084.47/x
  3. Step 3: Cross multiply
    1,279.47x = 1,915.57 × 1,084.47
  4. Step 4: Simplify right side
    1,279.47x = 2,077,366.27
  5. Step 5: Solve for x
    x = 2,077,366.27/1,279.47
  6. Step 6: Final answer
    x = 1,623.61

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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.