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Finding the Fourth Proportional to 2,031.91, 3,047.87 and 492.91

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Solution

The fourth proportional to 2,031.91, 3,047.87 and 492.91 is: 739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.91 : 3,047.87 = 492.91 : x
  2. Step 2: Convert to fraction form
    2,031.91/3,047.87 = 492.91/x
  3. Step 3: Cross multiply
    2,031.91x = 3,047.87 × 492.91
  4. Step 4: Simplify right side
    2,031.91x = 1,502,319.21
  5. Step 5: Solve for x
    x = 1,502,319.21/2,031.91
  6. Step 6: Final answer
    x = 739.36

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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.