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Finding the Fourth Proportional to 3,642.72, 5,466.48 and 2,719.32

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Solution

The fourth proportional to 3,642.72, 5,466.48 and 2,719.32 is: 4,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.72 : 5,466.48 = 2,719.32 : x
  2. Step 2: Convert to fraction form
    3,642.72/5,466.48 = 2,719.32/x
  3. Step 3: Cross multiply
    3,642.72x = 5,466.48 × 2,719.32
  4. Step 4: Simplify right side
    3,642.72x = 14,865,108.39
  5. Step 5: Solve for x
    x = 14,865,108.39/3,642.72
  6. Step 6: Final answer
    x = 4,080.77

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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.