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Finding the Fourth Proportional to 7,388.16, 10,195.80 and 4,031.10

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Solution

The fourth proportional to 7,388.16, 10,195.80 and 4,031.10 is: 5,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,388.16 : 10,195.80 = 4,031.10 : x
  2. Step 2: Convert to fraction form
    7,388.16/10,195.80 = 4,031.10/x
  3. Step 3: Cross multiply
    7,388.16x = 10,195.80 × 4,031.10
  4. Step 4: Simplify right side
    7,388.16x = 41,100,289.38
  5. Step 5: Solve for x
    x = 41,100,289.38/7,388.16
  6. Step 6: Final answer
    x = 5,562.99

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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.