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Finding the Fourth Proportional to 4,889, 6,746.82 and 2,681

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Solution

The fourth proportional to 4,889, 6,746.82 and 2,681 is: 3,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889 : 6,746.82 = 2,681 : x
  2. Step 2: Convert to fraction form
    4,889/6,746.82 = 2,681/x
  3. Step 3: Cross multiply
    4,889x = 6,746.82 × 2,681
  4. Step 4: Simplify right side
    4,889x = 18,088,224.42
  5. Step 5: Solve for x
    x = 18,088,224.42/4,889
  6. Step 6: Final answer
    x = 3,699.78

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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.