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Finding the Fourth Proportional to 4,877.40, 6,730.38 and 2,781

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Solution

The fourth proportional to 4,877.40, 6,730.38 and 2,781 is: 3,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.40 : 6,730.38 = 2,781 : x
  2. Step 2: Convert to fraction form
    4,877.40/6,730.38 = 2,781/x
  3. Step 3: Cross multiply
    4,877.40x = 6,730.38 × 2,781
  4. Step 4: Simplify right side
    4,877.40x = 18,717,186.78
  5. Step 5: Solve for x
    x = 18,717,186.78/4,877.40
  6. Step 6: Final answer
    x = 3,837.53

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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.