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Finding the Fourth Proportional to 10,884.92, 15,016.86 and 7,106.87

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Solution

The fourth proportional to 10,884.92, 15,016.86 and 7,106.87 is: 9,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.92 : 15,016.86 = 7,106.87 : x
  2. Step 2: Convert to fraction form
    10,884.92/15,016.86 = 7,106.87/x
  3. Step 3: Cross multiply
    10,884.92x = 15,016.86 × 7,106.87
  4. Step 4: Simplify right side
    10,884.92x = 106,722,796.74
  5. Step 5: Solve for x
    x = 106,722,796.74/10,884.92
  6. Step 6: Final answer
    x = 9,804.65

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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.