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Finding the Fourth Proportional to 5,402.90, 8,106.51 and 1,940.42

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Solution

The fourth proportional to 5,402.90, 8,106.51 and 1,940.42 is: 2,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.90 : 8,106.51 = 1,940.42 : x
  2. Step 2: Convert to fraction form
    5,402.90/8,106.51 = 1,940.42/x
  3. Step 3: Cross multiply
    5,402.90x = 8,106.51 × 1,940.42
  4. Step 4: Simplify right side
    5,402.90x = 15,730,061.68
  5. Step 5: Solve for x
    x = 15,730,061.68/5,402.90
  6. Step 6: Final answer
    x = 2,911.41

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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.