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Finding the Fourth Proportional to 10,010.60, 13,816 and 5,761.57

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Solution

The fourth proportional to 10,010.60, 13,816 and 5,761.57 is: 7,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.60 : 13,816 = 5,761.57 : x
  2. Step 2: Convert to fraction form
    10,010.60/13,816 = 5,761.57/x
  3. Step 3: Cross multiply
    10,010.60x = 13,816 × 5,761.57
  4. Step 4: Simplify right side
    10,010.60x = 79,601,851.12
  5. Step 5: Solve for x
    x = 79,601,851.12/10,010.60
  6. Step 6: Final answer
    x = 7,951.76

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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.