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Finding the Fourth Proportional to 3,807.30, 5,712.78 and 3,314.64

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Solution

The fourth proportional to 3,807.30, 5,712.78 and 3,314.64 is: 4,973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.30 : 5,712.78 = 3,314.64 : x
  2. Step 2: Convert to fraction form
    3,807.30/5,712.78 = 3,314.64/x
  3. Step 3: Cross multiply
    3,807.30x = 5,712.78 × 3,314.64
  4. Step 4: Simplify right side
    3,807.30x = 18,935,809.10
  5. Step 5: Solve for x
    x = 18,935,809.10/3,807.30
  6. Step 6: Final answer
    x = 4,973.55

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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.