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Finding the Fourth Proportional to 25,434, 38,106.52 and 17,647.76

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Solution

The fourth proportional to 25,434, 38,106.52 and 17,647.76 is: 26,440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,434 : 38,106.52 = 17,647.76 : x
  2. Step 2: Convert to fraction form
    25,434/38,106.52 = 17,647.76/x
  3. Step 3: Cross multiply
    25,434x = 38,106.52 × 17,647.76
  4. Step 4: Simplify right side
    25,434x = 672,494,719.40
  5. Step 5: Solve for x
    x = 672,494,719.40/25,434
  6. Step 6: Final answer
    x = 26,440.78

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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.