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Finding the Fourth Proportional to 3,154.78, 4,736.35 and 2,695.51

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Solution

The fourth proportional to 3,154.78, 4,736.35 and 2,695.51 is: 4,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.78 : 4,736.35 = 2,695.51 : x
  2. Step 2: Convert to fraction form
    3,154.78/4,736.35 = 2,695.51/x
  3. Step 3: Cross multiply
    3,154.78x = 4,736.35 × 2,695.51
  4. Step 4: Simplify right side
    3,154.78x = 12,766,878.79
  5. Step 5: Solve for x
    x = 12,766,878.79/3,154.78
  6. Step 6: Final answer
    x = 4,046.84

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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.