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Finding the Fourth Proportional to 6,866.85, 10,348.62 and 6,209.46

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Solution

The fourth proportional to 6,866.85, 10,348.62 and 6,209.46 is: 9,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.85 : 10,348.62 = 6,209.46 : x
  2. Step 2: Convert to fraction form
    6,866.85/10,348.62 = 6,209.46/x
  3. Step 3: Cross multiply
    6,866.85x = 10,348.62 × 6,209.46
  4. Step 4: Simplify right side
    6,866.85x = 64,259,341.95
  5. Step 5: Solve for x
    x = 64,259,341.95/6,866.85
  6. Step 6: Final answer
    x = 9,357.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.