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Finding the Fourth Proportional to 20,888.65, 31,348.54 and 8,408.78

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Solution

The fourth proportional to 20,888.65, 31,348.54 and 8,408.78 is: 12,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888.65 : 31,348.54 = 8,408.78 : x
  2. Step 2: Convert to fraction form
    20,888.65/31,348.54 = 8,408.78/x
  3. Step 3: Cross multiply
    20,888.65x = 31,348.54 × 8,408.78
  4. Step 4: Simplify right side
    20,888.65x = 263,602,976.18
  5. Step 5: Solve for x
    x = 263,602,976.18/20,888.65
  6. Step 6: Final answer
    x = 12,619.44

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1.5x scale

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.