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Finding the Fourth Proportional to 11,291.54, 15,568.89 and 7,833.38

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Solution

The fourth proportional to 11,291.54, 15,568.89 and 7,833.38 is: 10,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.54 : 15,568.89 = 7,833.38 : x
  2. Step 2: Convert to fraction form
    11,291.54/15,568.89 = 7,833.38/x
  3. Step 3: Cross multiply
    11,291.54x = 15,568.89 × 7,833.38
  4. Step 4: Simplify right side
    11,291.54x = 121,957,031.55
  5. Step 5: Solve for x
    x = 121,957,031.55/11,291.54
  6. Step 6: Final answer
    x = 10,800.74

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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.