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Finding the Fourth Proportional to 20,195.64, 27,870.90 and 11,698.14

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Solution

The fourth proportional to 20,195.64, 27,870.90 and 11,698.14 is: 16,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.64 : 27,870.90 = 11,698.14 : x
  2. Step 2: Convert to fraction form
    20,195.64/27,870.90 = 11,698.14/x
  3. Step 3: Cross multiply
    20,195.64x = 27,870.90 × 11,698.14
  4. Step 4: Simplify right side
    20,195.64x = 326,037,690.13
  5. Step 5: Solve for x
    x = 326,037,690.13/20,195.64
  6. Step 6: Final answer
    x = 16,143.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.