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Finding the Fourth Proportional to 15,178.42, 20,942.73 and 9,125.90

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Solution

The fourth proportional to 15,178.42, 20,942.73 and 9,125.90 is: 12,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.42 : 20,942.73 = 9,125.90 : x
  2. Step 2: Convert to fraction form
    15,178.42/20,942.73 = 9,125.90/x
  3. Step 3: Cross multiply
    15,178.42x = 20,942.73 × 9,125.90
  4. Step 4: Simplify right side
    15,178.42x = 191,121,154.99
  5. Step 5: Solve for x
    x = 191,121,154.99/15,178.42
  6. Step 6: Final answer
    x = 12,591.64

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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.