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Finding the Fourth Proportional to 3,276.90, 4,913.67 and 968.10

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Solution

The fourth proportional to 3,276.90, 4,913.67 and 968.10 is: 1,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.90 : 4,913.67 = 968.10 : x
  2. Step 2: Convert to fraction form
    3,276.90/4,913.67 = 968.10/x
  3. Step 3: Cross multiply
    3,276.90x = 4,913.67 × 968.10
  4. Step 4: Simplify right side
    3,276.90x = 4,756,923.93
  5. Step 5: Solve for x
    x = 4,756,923.93/3,276.90
  6. Step 6: Final answer
    x = 1,451.65

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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.