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Finding the Fourth Proportional to 11,122.34, 16,685.33 and 5,275.76

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Solution

The fourth proportional to 11,122.34, 16,685.33 and 5,275.76 is: 7,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.34 : 16,685.33 = 5,275.76 : x
  2. Step 2: Convert to fraction form
    11,122.34/16,685.33 = 5,275.76/x
  3. Step 3: Cross multiply
    11,122.34x = 16,685.33 × 5,275.76
  4. Step 4: Simplify right side
    11,122.34x = 88,027,686.80
  5. Step 5: Solve for x
    x = 88,027,686.80/11,122.34
  6. Step 6: Final answer
    x = 7,914.50

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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.