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Finding the Fourth Proportional to 7,853.64, 11,780.90 and 2,230.87

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Solution

The fourth proportional to 7,853.64, 11,780.90 and 2,230.87 is: 3,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.64 : 11,780.90 = 2,230.87 : x
  2. Step 2: Convert to fraction form
    7,853.64/11,780.90 = 2,230.87/x
  3. Step 3: Cross multiply
    7,853.64x = 11,780.90 × 2,230.87
  4. Step 4: Simplify right side
    7,853.64x = 26,281,597.48
  5. Step 5: Solve for x
    x = 26,281,597.48/7,853.64
  6. Step 6: Final answer
    x = 3,346.42

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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.