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Finding the Fourth Proportional to 2,752.87, 4,122.47 and 1,927.28

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Solution

The fourth proportional to 2,752.87, 4,122.47 and 1,927.28 is: 2,886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.87 : 4,122.47 = 1,927.28 : x
  2. Step 2: Convert to fraction form
    2,752.87/4,122.47 = 1,927.28/x
  3. Step 3: Cross multiply
    2,752.87x = 4,122.47 × 1,927.28
  4. Step 4: Simplify right side
    2,752.87x = 7,945,153.98
  5. Step 5: Solve for x
    x = 7,945,153.98/2,752.87
  6. Step 6: Final answer
    x = 2,886.13

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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.