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Finding the Fourth Proportional to 25,251.94, 37,878 and 7,721.70

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Solution

The fourth proportional to 25,251.94, 37,878 and 7,721.70 is: 11,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,251.94 : 37,878 = 7,721.70 : x
  2. Step 2: Convert to fraction form
    25,251.94/37,878 = 7,721.70/x
  3. Step 3: Cross multiply
    25,251.94x = 37,878 × 7,721.70
  4. Step 4: Simplify right side
    25,251.94x = 292,482,552.60
  5. Step 5: Solve for x
    x = 292,482,552.60/25,251.94
  6. Step 6: Final answer
    x = 11,582.58

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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.