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Finding the Fourth Proportional to 2,752.87, 4,127.93 and 997.80

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Solution

The fourth proportional to 2,752.87, 4,127.93 and 997.80 is: 1,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.87 : 4,127.93 = 997.80 : x
  2. Step 2: Convert to fraction form
    2,752.87/4,127.93 = 997.80/x
  3. Step 3: Cross multiply
    2,752.87x = 4,127.93 × 997.80
  4. Step 4: Simplify right side
    2,752.87x = 4,118,851.05
  5. Step 5: Solve for x
    x = 4,118,851.05/2,752.87
  6. Step 6: Final answer
    x = 1,496.20

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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.