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Finding the Fourth Proportional to 34,081.84, 47,022 and 20,648.80

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Solution

The fourth proportional to 34,081.84, 47,022 and 20,648.80 is: 28,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,081.84 : 47,022 = 20,648.80 : x
  2. Step 2: Convert to fraction form
    34,081.84/47,022 = 20,648.80/x
  3. Step 3: Cross multiply
    34,081.84x = 47,022 × 20,648.80
  4. Step 4: Simplify right side
    34,081.84x = 970,947,873.60
  5. Step 5: Solve for x
    x = 970,947,873.60/34,081.84
  6. Step 6: Final answer
    x = 28,488.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.