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Finding the Fourth Proportional to 8,165.67, 12,246.84 and 2,320.71

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Solution

The fourth proportional to 8,165.67, 12,246.84 and 2,320.71 is: 3,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.67 : 12,246.84 = 2,320.71 : x
  2. Step 2: Convert to fraction form
    8,165.67/12,246.84 = 2,320.71/x
  3. Step 3: Cross multiply
    8,165.67x = 12,246.84 × 2,320.71
  4. Step 4: Simplify right side
    8,165.67x = 28,421,364.06
  5. Step 5: Solve for x
    x = 28,421,364.06/8,165.67
  6. Step 6: Final answer
    x = 3,480.59

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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.