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Finding the Fourth Proportional to 25,578, 38,384.40 and 9,162

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Solution

The fourth proportional to 25,578, 38,384.40 and 9,162 is: 13,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578 : 38,384.40 = 9,162 : x
  2. Step 2: Convert to fraction form
    25,578/38,384.40 = 9,162/x
  3. Step 3: Cross multiply
    25,578x = 38,384.40 × 9,162
  4. Step 4: Simplify right side
    25,578x = 351,677,872.80
  5. Step 5: Solve for x
    x = 351,677,872.80/25,578
  6. Step 6: Final answer
    x = 13,749.23

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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.