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Finding the Fourth Proportional to 2,913.78, 4,370.67 and 966.13

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Solution

The fourth proportional to 2,913.78, 4,370.67 and 966.13 is: 1,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.78 : 4,370.67 = 966.13 : x
  2. Step 2: Convert to fraction form
    2,913.78/4,370.67 = 966.13/x
  3. Step 3: Cross multiply
    2,913.78x = 4,370.67 × 966.13
  4. Step 4: Simplify right side
    2,913.78x = 4,222,635.41
  5. Step 5: Solve for x
    x = 4,222,635.41/2,913.78
  6. Step 6: Final answer
    x = 1,449.20

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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.