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Finding the Fourth Proportional to 6,867.29, 10,305.12 and 6,309.65

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Solution

The fourth proportional to 6,867.29, 10,305.12 and 6,309.65 is: 9,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.29 : 10,305.12 = 6,309.65 : x
  2. Step 2: Convert to fraction form
    6,867.29/10,305.12 = 6,309.65/x
  3. Step 3: Cross multiply
    6,867.29x = 10,305.12 × 6,309.65
  4. Step 4: Simplify right side
    6,867.29x = 65,021,700.41
  5. Step 5: Solve for x
    x = 65,021,700.41/6,867.29
  6. Step 6: Final answer
    x = 9,468.32

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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.