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Finding the Fourth Proportional to 51,820.80, 71,512.70 and 29,464.80

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Solution

The fourth proportional to 51,820.80, 71,512.70 and 29,464.80 is: 40,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,820.80 : 71,512.70 = 29,464.80 : x
  2. Step 2: Convert to fraction form
    51,820.80/71,512.70 = 29,464.80/x
  3. Step 3: Cross multiply
    51,820.80x = 71,512.70 × 29,464.80
  4. Step 4: Simplify right side
    51,820.80x = 2,107,107,402.96
  5. Step 5: Solve for x
    x = 2,107,107,402.96/51,820.80
  6. Step 6: Final answer
    x = 40,661.42

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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.