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Finding the Fourth Proportional to 5,665.58, 7,821.12 and 3,398.01

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Solution

The fourth proportional to 5,665.58, 7,821.12 and 3,398.01 is: 4,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.58 : 7,821.12 = 3,398.01 : x
  2. Step 2: Convert to fraction form
    5,665.58/7,821.12 = 3,398.01/x
  3. Step 3: Cross multiply
    5,665.58x = 7,821.12 × 3,398.01
  4. Step 4: Simplify right side
    5,665.58x = 26,576,243.97
  5. Step 5: Solve for x
    x = 26,576,243.97/5,665.58
  6. Step 6: Final answer
    x = 4,690.82

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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.