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Finding the Fourth Proportional to 2,818.71, 4,223.41 and 968.80

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Solution

The fourth proportional to 2,818.71, 4,223.41 and 968.80 is: 1,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.71 : 4,223.41 = 968.80 : x
  2. Step 2: Convert to fraction form
    2,818.71/4,223.41 = 968.80/x
  3. Step 3: Cross multiply
    2,818.71x = 4,223.41 × 968.80
  4. Step 4: Simplify right side
    2,818.71x = 4,091,639.61
  5. Step 5: Solve for x
    x = 4,091,639.61/2,818.71
  6. Step 6: Final answer
    x = 1,451.60

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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.