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Finding the Fourth Proportional to 2,772.81, 4,157 and 1,601.48

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Solution

The fourth proportional to 2,772.81, 4,157 and 1,601.48 is: 2,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.81 : 4,157 = 1,601.48 : x
  2. Step 2: Convert to fraction form
    2,772.81/4,157 = 1,601.48/x
  3. Step 3: Cross multiply
    2,772.81x = 4,157 × 1,601.48
  4. Step 4: Simplify right side
    2,772.81x = 6,657,352.36
  5. Step 5: Solve for x
    x = 6,657,352.36/2,772.81
  6. Step 6: Final answer
    x = 2,400.94

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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.