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Finding the Fourth Proportional to 12,990.68, 19,470.46 and 7,447.80

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Solution

The fourth proportional to 12,990.68, 19,470.46 and 7,447.80 is: 11,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990.68 : 19,470.46 = 7,447.80 : x
  2. Step 2: Convert to fraction form
    12,990.68/19,470.46 = 7,447.80/x
  3. Step 3: Cross multiply
    12,990.68x = 19,470.46 × 7,447.80
  4. Step 4: Simplify right side
    12,990.68x = 145,012,091.99
  5. Step 5: Solve for x
    x = 145,012,091.99/12,990.68
  6. Step 6: Final answer
    x = 11,162.78

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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.