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Finding the Fourth Proportional to 11,422.52, 15,763.02 and 6,640.76

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Solution

The fourth proportional to 11,422.52, 15,763.02 and 6,640.76 is: 9,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.52 : 15,763.02 = 6,640.76 : x
  2. Step 2: Convert to fraction form
    11,422.52/15,763.02 = 6,640.76/x
  3. Step 3: Cross multiply
    11,422.52x = 15,763.02 × 6,640.76
  4. Step 4: Simplify right side
    11,422.52x = 104,678,432.70
  5. Step 5: Solve for x
    x = 104,678,432.70/11,422.52
  6. Step 6: Final answer
    x = 9,164.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.