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Finding the Fourth Proportional to 6,139.80, 9,211.05 and 2,852.10

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Solution

The fourth proportional to 6,139.80, 9,211.05 and 2,852.10 is: 4,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.80 : 9,211.05 = 2,852.10 : x
  2. Step 2: Convert to fraction form
    6,139.80/9,211.05 = 2,852.10/x
  3. Step 3: Cross multiply
    6,139.80x = 9,211.05 × 2,852.10
  4. Step 4: Simplify right side
    6,139.80x = 26,270,835.71
  5. Step 5: Solve for x
    x = 26,270,835.71/6,139.80
  6. Step 6: Final answer
    x = 4,278.78

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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.