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Finding the Fourth Proportional to 5,411.97, 8,118.38 and 1,714.41

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Solution

The fourth proportional to 5,411.97, 8,118.38 and 1,714.41 is: 2,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.97 : 8,118.38 = 1,714.41 : x
  2. Step 2: Convert to fraction form
    5,411.97/8,118.38 = 1,714.41/x
  3. Step 3: Cross multiply
    5,411.97x = 8,118.38 × 1,714.41
  4. Step 4: Simplify right side
    5,411.97x = 13,918,223.28
  5. Step 5: Solve for x
    x = 13,918,223.28/5,411.97
  6. Step 6: Final answer
    x = 2,571.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.