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Finding the Fourth Proportional to 34,375, 47,430.30 and 20,229.40

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Solution

The fourth proportional to 34,375, 47,430.30 and 20,229.40 is: 27,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,375 : 47,430.30 = 20,229.40 : x
  2. Step 2: Convert to fraction form
    34,375/47,430.30 = 20,229.40/x
  3. Step 3: Cross multiply
    34,375x = 47,430.30 × 20,229.40
  4. Step 4: Simplify right side
    34,375x = 959,486,510.82
  5. Step 5: Solve for x
    x = 959,486,510.82/34,375
  6. Step 6: Final answer
    x = 27,912.33

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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.