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Finding the Fourth Proportional to 2,331.95, 3,497.94 and 871.11

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Solution

The fourth proportional to 2,331.95, 3,497.94 and 871.11 is: 1,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.95 : 3,497.94 = 871.11 : x
  2. Step 2: Convert to fraction form
    2,331.95/3,497.94 = 871.11/x
  3. Step 3: Cross multiply
    2,331.95x = 3,497.94 × 871.11
  4. Step 4: Simplify right side
    2,331.95x = 3,047,090.51
  5. Step 5: Solve for x
    x = 3,047,090.51/2,331.95
  6. Step 6: Final answer
    x = 1,306.67

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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.