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Finding the Fourth Proportional to 25,578, 38,367.02 and 7,110

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Solution

The fourth proportional to 25,578, 38,367.02 and 7,110 is: 10,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578 : 38,367.02 = 7,110 : x
  2. Step 2: Convert to fraction form
    25,578/38,367.02 = 7,110/x
  3. Step 3: Cross multiply
    25,578x = 38,367.02 × 7,110
  4. Step 4: Simplify right side
    25,578x = 272,789,512.20
  5. Step 5: Solve for x
    x = 272,789,512.20/25,578
  6. Step 6: Final answer
    x = 10,665.01

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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.