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Finding the Fourth Proportional to 7,031.08, 9,703.74 and 4,049.92

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Solution

The fourth proportional to 7,031.08, 9,703.74 and 4,049.92 is: 5,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.08 : 9,703.74 = 4,049.92 : x
  2. Step 2: Convert to fraction form
    7,031.08/9,703.74 = 4,049.92/x
  3. Step 3: Cross multiply
    7,031.08x = 9,703.74 × 4,049.92
  4. Step 4: Simplify right side
    7,031.08x = 39,299,370.70
  5. Step 5: Solve for x
    x = 39,299,370.70/7,031.08
  6. Step 6: Final answer
    x = 5,589.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.