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Finding the Fourth Proportional to 16,486.80, 24,733.20 and 5,390.40

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Solution

The fourth proportional to 16,486.80, 24,733.20 and 5,390.40 is: 8,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.80 : 24,733.20 = 5,390.40 : x
  2. Step 2: Convert to fraction form
    16,486.80/24,733.20 = 5,390.40/x
  3. Step 3: Cross multiply
    16,486.80x = 24,733.20 × 5,390.40
  4. Step 4: Simplify right side
    16,486.80x = 133,321,841.28
  5. Step 5: Solve for x
    x = 133,321,841.28/16,486.80
  6. Step 6: Final answer
    x = 8,086.58

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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.