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Finding the Fourth Proportional to 12,230.40, 16,872.48 and 7,752.96

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Solution

The fourth proportional to 12,230.40, 16,872.48 and 7,752.96 is: 10,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.40 : 16,872.48 = 7,752.96 : x
  2. Step 2: Convert to fraction form
    12,230.40/16,872.48 = 7,752.96/x
  3. Step 3: Cross multiply
    12,230.40x = 16,872.48 × 7,752.96
  4. Step 4: Simplify right side
    12,230.40x = 130,811,662.54
  5. Step 5: Solve for x
    x = 130,811,662.54/12,230.40
  6. Step 6: Final answer
    x = 10,695.62

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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.