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Finding the Fourth Proportional to 3,438, 4,745.52 and 2,196

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Solution

The fourth proportional to 3,438, 4,745.52 and 2,196 is: 3,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438 : 4,745.52 = 2,196 : x
  2. Step 2: Convert to fraction form
    3,438/4,745.52 = 2,196/x
  3. Step 3: Cross multiply
    3,438x = 4,745.52 × 2,196
  4. Step 4: Simplify right side
    3,438x = 10,421,161.92
  5. Step 5: Solve for x
    x = 10,421,161.92/3,438
  6. Step 6: Final answer
    x = 3,031.17

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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.