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Finding the Fourth Proportional to 3,808.16, 5,712.24 and 2,347.82

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Solution

The fourth proportional to 3,808.16, 5,712.24 and 2,347.82 is: 3,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.16 : 5,712.24 = 2,347.82 : x
  2. Step 2: Convert to fraction form
    3,808.16/5,712.24 = 2,347.82/x
  3. Step 3: Cross multiply
    3,808.16x = 5,712.24 × 2,347.82
  4. Step 4: Simplify right side
    3,808.16x = 13,411,311.32
  5. Step 5: Solve for x
    x = 13,411,311.32/3,808.16
  6. Step 6: Final answer
    x = 3,521.73

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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.