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Finding the Fourth Proportional to 8,191.90, 12,302.70 and 7,171.30

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Solution

The fourth proportional to 8,191.90, 12,302.70 and 7,171.30 is: 10,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.90 : 12,302.70 = 7,171.30 : x
  2. Step 2: Convert to fraction form
    8,191.90/12,302.70 = 7,171.30/x
  3. Step 3: Cross multiply
    8,191.90x = 12,302.70 × 7,171.30
  4. Step 4: Simplify right side
    8,191.90x = 88,226,352.51
  5. Step 5: Solve for x
    x = 88,226,352.51/8,191.90
  6. Step 6: Final answer
    x = 10,769.95

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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.