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Finding the Fourth Proportional to 25,443, 38,164.57 and 7,912.85

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Solution

The fourth proportional to 25,443, 38,164.57 and 7,912.85 is: 11,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,443 : 38,164.57 = 7,912.85 : x
  2. Step 2: Convert to fraction form
    25,443/38,164.57 = 7,912.85/x
  3. Step 3: Cross multiply
    25,443x = 38,164.57 × 7,912.85
  4. Step 4: Simplify right side
    25,443x = 301,990,307.12
  5. Step 5: Solve for x
    x = 301,990,307.12/25,443
  6. Step 6: Final answer
    x = 11,869.29

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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.