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Finding the Fourth Proportional to 11,391.71, 15,719.92 and 7,142.95

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Solution

The fourth proportional to 11,391.71, 15,719.92 and 7,142.95 is: 9,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.71 : 15,719.92 = 7,142.95 : x
  2. Step 2: Convert to fraction form
    11,391.71/15,719.92 = 7,142.95/x
  3. Step 3: Cross multiply
    11,391.71x = 15,719.92 × 7,142.95
  4. Step 4: Simplify right side
    11,391.71x = 112,286,533.02
  5. Step 5: Solve for x
    x = 112,286,533.02/11,391.71
  6. Step 6: Final answer
    x = 9,856.87

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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.