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Finding the Fourth Proportional to 8,171.59, 12,259.44 and 2,328.20

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Solution

The fourth proportional to 8,171.59, 12,259.44 and 2,328.20 is: 3,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.59 : 12,259.44 = 2,328.20 : x
  2. Step 2: Convert to fraction form
    8,171.59/12,259.44 = 2,328.20/x
  3. Step 3: Cross multiply
    8,171.59x = 12,259.44 × 2,328.20
  4. Step 4: Simplify right side
    8,171.59x = 28,542,428.21
  5. Step 5: Solve for x
    x = 28,542,428.21/8,171.59
  6. Step 6: Final answer
    x = 3,492.89

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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.