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Finding the Fourth Proportional to 25,478.40, 38,211.12 and 7,950

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Solution

The fourth proportional to 25,478.40, 38,211.12 and 7,950 is: 11,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,478.40 : 38,211.12 = 7,950 : x
  2. Step 2: Convert to fraction form
    25,478.40/38,211.12 = 7,950/x
  3. Step 3: Cross multiply
    25,478.40x = 38,211.12 × 7,950
  4. Step 4: Simplify right side
    25,478.40x = 303,778,404
  5. Step 5: Solve for x
    x = 303,778,404/25,478.40
  6. Step 6: Final answer
    x = 11,922.98

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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.