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Finding the Fourth Proportional to 25,743, 38,617.80 and 7,275

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Solution

The fourth proportional to 25,743, 38,617.80 and 7,275 is: 10,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,743 : 38,617.80 = 7,275 : x
  2. Step 2: Convert to fraction form
    25,743/38,617.80 = 7,275/x
  3. Step 3: Cross multiply
    25,743x = 38,617.80 × 7,275
  4. Step 4: Simplify right side
    25,743x = 280,944,495
  5. Step 5: Solve for x
    x = 280,944,495/25,743
  6. Step 6: Final answer
    x = 10,913.43

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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.