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Finding the Fourth Proportional to 14,965.20, 20,648.16 and 8,673.84

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Solution

The fourth proportional to 14,965.20, 20,648.16 and 8,673.84 is: 11,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.20 : 20,648.16 = 8,673.84 : x
  2. Step 2: Convert to fraction form
    14,965.20/20,648.16 = 8,673.84/x
  3. Step 3: Cross multiply
    14,965.20x = 20,648.16 × 8,673.84
  4. Step 4: Simplify right side
    14,965.20x = 179,098,836.13
  5. Step 5: Solve for x
    x = 179,098,836.13/14,965.20
  6. Step 6: Final answer
    x = 11,967.69

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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.