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Finding the Fourth Proportional to 51,971.60, 71,720.87 and 28,098.27

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Solution

The fourth proportional to 51,971.60, 71,720.87 and 28,098.27 is: 38,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,971.60 : 71,720.87 = 28,098.27 : x
  2. Step 2: Convert to fraction form
    51,971.60/71,720.87 = 28,098.27/x
  3. Step 3: Cross multiply
    51,971.60x = 71,720.87 × 28,098.27
  4. Step 4: Simplify right side
    51,971.60x = 2,015,232,369.89
  5. Step 5: Solve for x
    x = 2,015,232,369.89/51,971.60
  6. Step 6: Final answer
    x = 38,775.65

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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.