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Finding the Fourth Proportional to 25,617.70, 38,426.50 and 7,149.70

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Solution

The fourth proportional to 25,617.70, 38,426.50 and 7,149.70 is: 10,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,617.70 : 38,426.50 = 7,149.70 : x
  2. Step 2: Convert to fraction form
    25,617.70/38,426.50 = 7,149.70/x
  3. Step 3: Cross multiply
    25,617.70x = 38,426.50 × 7,149.70
  4. Step 4: Simplify right side
    25,617.70x = 274,737,947.05
  5. Step 5: Solve for x
    x = 274,737,947.05/25,617.70
  6. Step 6: Final answer
    x = 10,724.54

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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.