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Finding the Fourth Proportional to 14,649.50, 20,214.86 and 8,187.92

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Solution

The fourth proportional to 14,649.50, 20,214.86 and 8,187.92 is: 11,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.50 : 20,214.86 = 8,187.92 : x
  2. Step 2: Convert to fraction form
    14,649.50/20,214.86 = 8,187.92/x
  3. Step 3: Cross multiply
    14,649.50x = 20,214.86 × 8,187.92
  4. Step 4: Simplify right side
    14,649.50x = 165,517,727.02
  5. Step 5: Solve for x
    x = 165,517,727.02/14,649.50
  6. Step 6: Final answer
    x = 11,298.53

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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.