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Finding the Fourth Proportional to 8,309.89, 12,472.13 and 4,616.29

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Solution

The fourth proportional to 8,309.89, 12,472.13 and 4,616.29 is: 6,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.89 : 12,472.13 = 4,616.29 : x
  2. Step 2: Convert to fraction form
    8,309.89/12,472.13 = 4,616.29/x
  3. Step 3: Cross multiply
    8,309.89x = 12,472.13 × 4,616.29
  4. Step 4: Simplify right side
    8,309.89x = 57,574,914.74
  5. Step 5: Solve for x
    x = 57,574,914.74/8,309.89
  6. Step 6: Final answer
    x = 6,928.48

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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.