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Finding the Fourth Proportional to 2,768.88, 4,154.04 and 1,308

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Solution

The fourth proportional to 2,768.88, 4,154.04 and 1,308 is: 1,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.88 : 4,154.04 = 1,308 : x
  2. Step 2: Convert to fraction form
    2,768.88/4,154.04 = 1,308/x
  3. Step 3: Cross multiply
    2,768.88x = 4,154.04 × 1,308
  4. Step 4: Simplify right side
    2,768.88x = 5,433,484.32
  5. Step 5: Solve for x
    x = 5,433,484.32/2,768.88
  6. Step 6: Final answer
    x = 1,962.34

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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.