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Finding the Fourth Proportional to 2,822.99, 4,234.89 and 875.34

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Solution

The fourth proportional to 2,822.99, 4,234.89 and 875.34 is: 1,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.99 : 4,234.89 = 875.34 : x
  2. Step 2: Convert to fraction form
    2,822.99/4,234.89 = 875.34/x
  3. Step 3: Cross multiply
    2,822.99x = 4,234.89 × 875.34
  4. Step 4: Simplify right side
    2,822.99x = 3,706,968.61
  5. Step 5: Solve for x
    x = 3,706,968.61/2,822.99
  6. Step 6: Final answer
    x = 1,313.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.