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Finding the Fourth Proportional to 2,400, 3,312 and 1,296

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Solution

The fourth proportional to 2,400, 3,312 and 1,296 is: 1,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400 : 3,312 = 1,296 : x
  2. Step 2: Convert to fraction form
    2,400/3,312 = 1,296/x
  3. Step 3: Cross multiply
    2,400x = 3,312 × 1,296
  4. Step 4: Simplify right side
    2,400x = 4,292,352
  5. Step 5: Solve for x
    x = 4,292,352/2,400
  6. Step 6: Final answer
    x = 1,788.48

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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.