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Finding the Fourth Proportional to 15,277.68, 22,922.34 and 7,877.42

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Solution

The fourth proportional to 15,277.68, 22,922.34 and 7,877.42 is: 11,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,277.68 : 22,922.34 = 7,877.42 : x
  2. Step 2: Convert to fraction form
    15,277.68/22,922.34 = 7,877.42/x
  3. Step 3: Cross multiply
    15,277.68x = 22,922.34 × 7,877.42
  4. Step 4: Simplify right side
    15,277.68x = 180,568,899.56
  5. Step 5: Solve for x
    x = 180,568,899.56/15,277.68
  6. Step 6: Final answer
    x = 11,819.13

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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.