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Finding the Fourth Proportional to 5,943.78, 8,915.67 and 2,656.80

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Solution

The fourth proportional to 5,943.78, 8,915.67 and 2,656.80 is: 3,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.78 : 8,915.67 = 2,656.80 : x
  2. Step 2: Convert to fraction form
    5,943.78/8,915.67 = 2,656.80/x
  3. Step 3: Cross multiply
    5,943.78x = 8,915.67 × 2,656.80
  4. Step 4: Simplify right side
    5,943.78x = 23,687,152.06
  5. Step 5: Solve for x
    x = 23,687,152.06/5,943.78
  6. Step 6: Final answer
    x = 3,985.20

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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.