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Finding the Fourth Proportional to 3,378.96, 5,068.68 and 913.80

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Solution

The fourth proportional to 3,378.96, 5,068.68 and 913.80 is: 1,370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.96 : 5,068.68 = 913.80 : x
  2. Step 2: Convert to fraction form
    3,378.96/5,068.68 = 913.80/x
  3. Step 3: Cross multiply
    3,378.96x = 5,068.68 × 913.80
  4. Step 4: Simplify right side
    3,378.96x = 4,631,759.78
  5. Step 5: Solve for x
    x = 4,631,759.78/3,378.96
  6. Step 6: Final answer
    x = 1,370.76

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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.