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Finding the Fourth Proportional to 4,872, 6,717.16 and 3,739

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Solution

The fourth proportional to 4,872, 6,717.16 and 3,739 is: 5,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872 : 6,717.16 = 3,739 : x
  2. Step 2: Convert to fraction form
    4,872/6,717.16 = 3,739/x
  3. Step 3: Cross multiply
    4,872x = 6,717.16 × 3,739
  4. Step 4: Simplify right side
    4,872x = 25,115,461.24
  5. Step 5: Solve for x
    x = 25,115,461.24/4,872
  6. Step 6: Final answer
    x = 5,155.06

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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.