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Finding the Fourth Proportional to 6,140.70, 9,211.05 and 5,338.80

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Solution

The fourth proportional to 6,140.70, 9,211.05 and 5,338.80 is: 8,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.70 : 9,211.05 = 5,338.80 : x
  2. Step 2: Convert to fraction form
    6,140.70/9,211.05 = 5,338.80/x
  3. Step 3: Cross multiply
    6,140.70x = 9,211.05 × 5,338.80
  4. Step 4: Simplify right side
    6,140.70x = 49,175,953.74
  5. Step 5: Solve for x
    x = 49,175,953.74/6,140.70
  6. Step 6: Final answer
    x = 8,008.20

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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.