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Finding the Fourth Proportional to 3,865, 5,797.72 and 1,232.32

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Solution

The fourth proportional to 3,865, 5,797.72 and 1,232.32 is: 1,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865 : 5,797.72 = 1,232.32 : x
  2. Step 2: Convert to fraction form
    3,865/5,797.72 = 1,232.32/x
  3. Step 3: Cross multiply
    3,865x = 5,797.72 × 1,232.32
  4. Step 4: Simplify right side
    3,865x = 7,144,646.31
  5. Step 5: Solve for x
    x = 7,144,646.31/3,865
  6. Step 6: Final answer
    x = 1,848.55

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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.