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Finding the Fourth Proportional to 7,641.95, 11,461.50 and 2,711.68

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Solution

The fourth proportional to 7,641.95, 11,461.50 and 2,711.68 is: 4,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.95 : 11,461.50 = 2,711.68 : x
  2. Step 2: Convert to fraction form
    7,641.95/11,461.50 = 2,711.68/x
  3. Step 3: Cross multiply
    7,641.95x = 11,461.50 × 2,711.68
  4. Step 4: Simplify right side
    7,641.95x = 31,079,891.67
  5. Step 5: Solve for x
    x = 31,079,891.67/7,641.95
  6. Step 6: Final answer
    x = 4,067.01

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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.