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Finding the Fourth Proportional to 5,881.62, 8,822.46 and 1,986.06

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Solution

The fourth proportional to 5,881.62, 8,822.46 and 1,986.06 is: 2,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.62 : 8,822.46 = 1,986.06 : x
  2. Step 2: Convert to fraction form
    5,881.62/8,822.46 = 1,986.06/x
  3. Step 3: Cross multiply
    5,881.62x = 8,822.46 × 1,986.06
  4. Step 4: Simplify right side
    5,881.62x = 17,521,934.91
  5. Step 5: Solve for x
    x = 17,521,934.91/5,881.62
  6. Step 6: Final answer
    x = 2,979.10

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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.