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Finding the Fourth Proportional to 2,772.39, 4,158.58 and 824.60

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Solution

The fourth proportional to 2,772.39, 4,158.58 and 824.60 is: 1,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.39 : 4,158.58 = 824.60 : x
  2. Step 2: Convert to fraction form
    2,772.39/4,158.58 = 824.60/x
  3. Step 3: Cross multiply
    2,772.39x = 4,158.58 × 824.60
  4. Step 4: Simplify right side
    2,772.39x = 3,429,151.56
  5. Step 5: Solve for x
    x = 3,429,151.56/2,772.39
  6. Step 6: Final answer
    x = 1,236.89

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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.