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Finding the Fourth Proportional to 51,965, 71,711.80 and 28,091.68

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Solution

The fourth proportional to 51,965, 71,711.80 and 28,091.68 is: 38,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,965 : 71,711.80 = 28,091.68 : x
  2. Step 2: Convert to fraction form
    51,965/71,711.80 = 28,091.68/x
  3. Step 3: Cross multiply
    51,965x = 71,711.80 × 28,091.68
  4. Step 4: Simplify right side
    51,965x = 2,014,504,937.82
  5. Step 5: Solve for x
    x = 2,014,504,937.82/51,965
  6. Step 6: Final answer
    x = 38,766.57

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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.