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Finding the Fourth Proportional to 11,478.92, 15,835.92 and 7,001.96

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Solution

The fourth proportional to 11,478.92, 15,835.92 and 7,001.96 is: 9,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.92 : 15,835.92 = 7,001.96 : x
  2. Step 2: Convert to fraction form
    11,478.92/15,835.92 = 7,001.96/x
  3. Step 3: Cross multiply
    11,478.92x = 15,835.92 × 7,001.96
  4. Step 4: Simplify right side
    11,478.92x = 110,882,478.40
  5. Step 5: Solve for x
    x = 110,882,478.40/11,478.92
  6. Step 6: Final answer
    x = 9,659.66

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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.