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Finding the Fourth Proportional to 2,592.80, 3,887.77 and 1,772

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Solution

The fourth proportional to 2,592.80, 3,887.77 and 1,772 is: 2,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.80 : 3,887.77 = 1,772 : x
  2. Step 2: Convert to fraction form
    2,592.80/3,887.77 = 1,772/x
  3. Step 3: Cross multiply
    2,592.80x = 3,887.77 × 1,772
  4. Step 4: Simplify right side
    2,592.80x = 6,889,128.44
  5. Step 5: Solve for x
    x = 6,889,128.44/2,592.80
  6. Step 6: Final answer
    x = 2,657.02

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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.