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Finding the Fourth Proportional to 5,689.78, 7,851.06 and 3,451.28

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Solution

The fourth proportional to 5,689.78, 7,851.06 and 3,451.28 is: 4,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.78 : 7,851.06 = 3,451.28 : x
  2. Step 2: Convert to fraction form
    5,689.78/7,851.06 = 3,451.28/x
  3. Step 3: Cross multiply
    5,689.78x = 7,851.06 × 3,451.28
  4. Step 4: Simplify right side
    5,689.78x = 27,096,167.10
  5. Step 5: Solve for x
    x = 27,096,167.10/5,689.78
  6. Step 6: Final answer
    x = 4,762.25

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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.