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Finding the Fourth Proportional to 8,051.70, 12,109.95 and 7,209.30

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Solution

The fourth proportional to 8,051.70, 12,109.95 and 7,209.30 is: 10,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.70 : 12,109.95 = 7,209.30 : x
  2. Step 2: Convert to fraction form
    8,051.70/12,109.95 = 7,209.30/x
  3. Step 3: Cross multiply
    8,051.70x = 12,109.95 × 7,209.30
  4. Step 4: Simplify right side
    8,051.70x = 87,304,262.54
  5. Step 5: Solve for x
    x = 87,304,262.54/8,051.70
  6. Step 6: Final answer
    x = 10,842.96

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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.