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Finding the Fourth Proportional to 2,984.40, 4,476.80 and 793.15

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Solution

The fourth proportional to 2,984.40, 4,476.80 and 793.15 is: 1,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.40 : 4,476.80 = 793.15 : x
  2. Step 2: Convert to fraction form
    2,984.40/4,476.80 = 793.15/x
  3. Step 3: Cross multiply
    2,984.40x = 4,476.80 × 793.15
  4. Step 4: Simplify right side
    2,984.40x = 3,550,764.71
  5. Step 5: Solve for x
    x = 3,550,764.71/2,984.40
  6. Step 6: Final answer
    x = 1,189.78

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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.