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Finding the Fourth Proportional to 7,870.60, 11,800.14 and 4,169.80

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Solution

The fourth proportional to 7,870.60, 11,800.14 and 4,169.80 is: 6,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.60 : 11,800.14 = 4,169.80 : x
  2. Step 2: Convert to fraction form
    7,870.60/11,800.14 = 4,169.80/x
  3. Step 3: Cross multiply
    7,870.60x = 11,800.14 × 4,169.80
  4. Step 4: Simplify right side
    7,870.60x = 49,204,223.77
  5. Step 5: Solve for x
    x = 49,204,223.77/7,870.60
  6. Step 6: Final answer
    x = 6,251.65

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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.