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Finding the Fourth Proportional to 29,867.64, 41,200.20 and 18,670.20

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Solution

The fourth proportional to 29,867.64, 41,200.20 and 18,670.20 is: 25,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,867.64 : 41,200.20 = 18,670.20 : x
  2. Step 2: Convert to fraction form
    29,867.64/41,200.20 = 18,670.20/x
  3. Step 3: Cross multiply
    29,867.64x = 41,200.20 × 18,670.20
  4. Step 4: Simplify right side
    29,867.64x = 769,215,974.04
  5. Step 5: Solve for x
    x = 769,215,974.04/29,867.64
  6. Step 6: Final answer
    x = 25,754.16

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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.