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Finding the Fourth Proportional to 6,757.72, 9,315.06 and 6,214.61

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Solution

The fourth proportional to 6,757.72, 9,315.06 and 6,214.61 is: 8,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.72 : 9,315.06 = 6,214.61 : x
  2. Step 2: Convert to fraction form
    6,757.72/9,315.06 = 6,214.61/x
  3. Step 3: Cross multiply
    6,757.72x = 9,315.06 × 6,214.61
  4. Step 4: Simplify right side
    6,757.72x = 57,889,465.03
  5. Step 5: Solve for x
    x = 57,889,465.03/6,757.72
  6. Step 6: Final answer
    x = 8,566.42

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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.