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Finding the Fourth Proportional to 17,216.40, 25,795.80 and 8,432.40

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Solution

The fourth proportional to 17,216.40, 25,795.80 and 8,432.40 is: 12,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,216.40 : 25,795.80 = 8,432.40 : x
  2. Step 2: Convert to fraction form
    17,216.40/25,795.80 = 8,432.40/x
  3. Step 3: Cross multiply
    17,216.40x = 25,795.80 × 8,432.40
  4. Step 4: Simplify right side
    17,216.40x = 217,520,503.92
  5. Step 5: Solve for x
    x = 217,520,503.92/17,216.40
  6. Step 6: Final answer
    x = 12,634.49

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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.