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Finding the Fourth Proportional to 2,836.50, 4,254.78 and 784.50

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Solution

The fourth proportional to 2,836.50, 4,254.78 and 784.50 is: 1,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.50 : 4,254.78 = 784.50 : x
  2. Step 2: Convert to fraction form
    2,836.50/4,254.78 = 784.50/x
  3. Step 3: Cross multiply
    2,836.50x = 4,254.78 × 784.50
  4. Step 4: Simplify right side
    2,836.50x = 3,337,874.91
  5. Step 5: Solve for x
    x = 3,337,874.91/2,836.50
  6. Step 6: Final answer
    x = 1,176.76

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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.