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Finding the Fourth Proportional to 25,480.64, 38,219.61 and 7,948.46

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Solution

The fourth proportional to 25,480.64, 38,219.61 and 7,948.46 is: 11,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,480.64 : 38,219.61 = 7,948.46 : x
  2. Step 2: Convert to fraction form
    25,480.64/38,219.61 = 7,948.46/x
  3. Step 3: Cross multiply
    25,480.64x = 38,219.61 × 7,948.46
  4. Step 4: Simplify right side
    25,480.64x = 303,787,166.66
  5. Step 5: Solve for x
    x = 303,787,166.66/25,480.64
  6. Step 6: Final answer
    x = 11,922.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.