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Finding the Fourth Proportional to 4,718.78, 7,083.64 and 2,531.78

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Solution

The fourth proportional to 4,718.78, 7,083.64 and 2,531.78 is: 3,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.78 : 7,083.64 = 2,531.78 : x
  2. Step 2: Convert to fraction form
    4,718.78/7,083.64 = 2,531.78/x
  3. Step 3: Cross multiply
    4,718.78x = 7,083.64 × 2,531.78
  4. Step 4: Simplify right side
    4,718.78x = 17,934,218.08
  5. Step 5: Solve for x
    x = 17,934,218.08/4,718.78
  6. Step 6: Final answer
    x = 3,800.60

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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.