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Finding the Fourth Proportional to 25,850.76, 38,769.05 and 7,126.40

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Solution

The fourth proportional to 25,850.76, 38,769.05 and 7,126.40 is: 10,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.76 : 38,769.05 = 7,126.40 : x
  2. Step 2: Convert to fraction form
    25,850.76/38,769.05 = 7,126.40/x
  3. Step 3: Cross multiply
    25,850.76x = 38,769.05 × 7,126.40
  4. Step 4: Simplify right side
    25,850.76x = 276,283,528.44
  5. Step 5: Solve for x
    x = 276,283,528.44/25,850.76
  6. Step 6: Final answer
    x = 10,687.64

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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.