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Finding the Fourth Proportional to 5,411.82, 8,117.82 and 1,714.08

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Solution

The fourth proportional to 5,411.82, 8,117.82 and 1,714.08 is: 2,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.82 : 8,117.82 = 1,714.08 : x
  2. Step 2: Convert to fraction form
    5,411.82/8,117.82 = 1,714.08/x
  3. Step 3: Cross multiply
    5,411.82x = 8,117.82 × 1,714.08
  4. Step 4: Simplify right side
    5,411.82x = 13,914,592.91
  5. Step 5: Solve for x
    x = 13,914,592.91/5,411.82
  6. Step 6: Final answer
    x = 2,571.15

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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.