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Finding the Fourth Proportional to 7,881.54, 11,823.39 and 3,498.90

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Solution

The fourth proportional to 7,881.54, 11,823.39 and 3,498.90 is: 5,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.54 : 11,823.39 = 3,498.90 : x
  2. Step 2: Convert to fraction form
    7,881.54/11,823.39 = 3,498.90/x
  3. Step 3: Cross multiply
    7,881.54x = 11,823.39 × 3,498.90
  4. Step 4: Simplify right side
    7,881.54x = 41,368,859.27
  5. Step 5: Solve for x
    x = 41,368,859.27/7,881.54
  6. Step 6: Final answer
    x = 5,248.83

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1.5x scale

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.