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Finding the Fourth Proportional to 20,585.84, 30,886.20 and 8,098.98

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Solution

The fourth proportional to 20,585.84, 30,886.20 and 8,098.98 is: 12,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.84 : 30,886.20 = 8,098.98 : x
  2. Step 2: Convert to fraction form
    20,585.84/30,886.20 = 8,098.98/x
  3. Step 3: Cross multiply
    20,585.84x = 30,886.20 × 8,098.98
  4. Step 4: Simplify right side
    20,585.84x = 250,146,716.08
  5. Step 5: Solve for x
    x = 250,146,716.08/20,585.84
  6. Step 6: Final answer
    x = 12,151.40

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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.