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Finding the Fourth Proportional to 2,823.02, 4,234.94 and 875.38

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Solution

The fourth proportional to 2,823.02, 4,234.94 and 875.38 is: 1,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.02 : 4,234.94 = 875.38 : x
  2. Step 2: Convert to fraction form
    2,823.02/4,234.94 = 875.38/x
  3. Step 3: Cross multiply
    2,823.02x = 4,234.94 × 875.38
  4. Step 4: Simplify right side
    2,823.02x = 3,707,181.78
  5. Step 5: Solve for x
    x = 3,707,181.78/2,823.02
  6. Step 6: Final answer
    x = 1,313.20

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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.