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Finding the Fourth Proportional to 20,146.50, 30,071.86 and 18,662.08

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Solution

The fourth proportional to 20,146.50, 30,071.86 and 18,662.08 is: 27,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.50 : 30,071.86 = 18,662.08 : x
  2. Step 2: Convert to fraction form
    20,146.50/30,071.86 = 18,662.08/x
  3. Step 3: Cross multiply
    20,146.50x = 30,071.86 × 18,662.08
  4. Step 4: Simplify right side
    20,146.50x = 561,203,306.71
  5. Step 5: Solve for x
    x = 561,203,306.71/20,146.50
  6. Step 6: Final answer
    x = 27,856.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.