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Finding the Fourth Proportional to 25,865, 38,797.50 and 7,398.44

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Solution

The fourth proportional to 25,865, 38,797.50 and 7,398.44 is: 11,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,865 : 38,797.50 = 7,398.44 : x
  2. Step 2: Convert to fraction form
    25,865/38,797.50 = 7,398.44/x
  3. Step 3: Cross multiply
    25,865x = 38,797.50 × 7,398.44
  4. Step 4: Simplify right side
    25,865x = 287,040,975.90
  5. Step 5: Solve for x
    x = 287,040,975.90/25,865
  6. Step 6: Final answer
    x = 11,097.66

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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.