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Finding the Fourth Proportional to 2,031.42, 3,047.11 and 492.42

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Solution

The fourth proportional to 2,031.42, 3,047.11 and 492.42 is: 738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.42 : 3,047.11 = 492.42 : x
  2. Step 2: Convert to fraction form
    2,031.42/3,047.11 = 492.42/x
  3. Step 3: Cross multiply
    2,031.42x = 3,047.11 × 492.42
  4. Step 4: Simplify right side
    2,031.42x = 1,500,457.91
  5. Step 5: Solve for x
    x = 1,500,457.91/2,031.42
  6. Step 6: Final answer
    x = 738.63

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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.