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Finding the Fourth Proportional to 9,761.10, 14,620.05 and 5,138.70

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Solution

The fourth proportional to 9,761.10, 14,620.05 and 5,138.70 is: 7,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.10 : 14,620.05 = 5,138.70 : x
  2. Step 2: Convert to fraction form
    9,761.10/14,620.05 = 5,138.70/x
  3. Step 3: Cross multiply
    9,761.10x = 14,620.05 × 5,138.70
  4. Step 4: Simplify right side
    9,761.10x = 75,128,050.94
  5. Step 5: Solve for x
    x = 75,128,050.94/9,761.10
  6. Step 6: Final answer
    x = 7,696.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.