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Finding the Fourth Proportional to 34,367, 47,425.68 and 20,220.76

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Solution

The fourth proportional to 34,367, 47,425.68 and 20,220.76 is: 27,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,367 : 47,425.68 = 20,220.76 : x
  2. Step 2: Convert to fraction form
    34,367/47,425.68 = 20,220.76/x
  3. Step 3: Cross multiply
    34,367x = 47,425.68 × 20,220.76
  4. Step 4: Simplify right side
    34,367x = 958,983,293.12
  5. Step 5: Solve for x
    x = 958,983,293.12/34,367
  6. Step 6: Final answer
    x = 27,904.19

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Half scale
Find fourth proportional to 68,734, 94,851.36 and 40,441.52
Double scale
Find fourth proportional to 34,368, 47,427.06 and 20,221.76
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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.