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Finding the Fourth Proportional to 34,365, 47,422.90 and 20,218.76

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Solution

The fourth proportional to 34,365, 47,422.90 and 20,218.76 is: 27,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,365 : 47,422.90 = 20,218.76 : x
  2. Step 2: Convert to fraction form
    34,365/47,422.90 = 20,218.76/x
  3. Step 3: Cross multiply
    34,365x = 47,422.90 × 20,218.76
  4. Step 4: Simplify right side
    34,365x = 958,832,233.60
  5. Step 5: Solve for x
    x = 958,832,233.60/34,365
  6. Step 6: Final answer
    x = 27,901.42

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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.