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Finding the Fourth Proportional to 4,660.32, 6,432 and 2,772

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Solution

The fourth proportional to 4,660.32, 6,432 and 2,772 is: 3,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.32 : 6,432 = 2,772 : x
  2. Step 2: Convert to fraction form
    4,660.32/6,432 = 2,772/x
  3. Step 3: Cross multiply
    4,660.32x = 6,432 × 2,772
  4. Step 4: Simplify right side
    4,660.32x = 17,829,504
  5. Step 5: Solve for x
    x = 17,829,504/4,660.32
  6. Step 6: Final answer
    x = 3,825.81

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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.