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Finding the Fourth Proportional to 2,231.30, 3,346.81 and 587.81

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Solution

The fourth proportional to 2,231.30, 3,346.81 and 587.81 is: 881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.30 : 3,346.81 = 587.81 : x
  2. Step 2: Convert to fraction form
    2,231.30/3,346.81 = 587.81/x
  3. Step 3: Cross multiply
    2,231.30x = 3,346.81 × 587.81
  4. Step 4: Simplify right side
    2,231.30x = 1,967,270.18
  5. Step 5: Solve for x
    x = 1,967,270.18/2,231.30
  6. Step 6: Final answer
    x = 881.67

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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.