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Finding the Fourth Proportional to 20,275.71, 27,984.12 and 12,099.84

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Solution

The fourth proportional to 20,275.71, 27,984.12 and 12,099.84 is: 16,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.71 : 27,984.12 = 12,099.84 : x
  2. Step 2: Convert to fraction form
    20,275.71/27,984.12 = 12,099.84/x
  3. Step 3: Cross multiply
    20,275.71x = 27,984.12 × 12,099.84
  4. Step 4: Simplify right side
    20,275.71x = 338,603,374.54
  5. Step 5: Solve for x
    x = 338,603,374.54/20,275.71
  6. Step 6: Final answer
    x = 16,699.95

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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.