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Finding the Fourth Proportional to 2,866.78, 4,300.44 and 918.46

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Solution

The fourth proportional to 2,866.78, 4,300.44 and 918.46 is: 1,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.78 : 4,300.44 = 918.46 : x
  2. Step 2: Convert to fraction form
    2,866.78/4,300.44 = 918.46/x
  3. Step 3: Cross multiply
    2,866.78x = 4,300.44 × 918.46
  4. Step 4: Simplify right side
    2,866.78x = 3,949,782.12
  5. Step 5: Solve for x
    x = 3,949,782.12/2,866.78
  6. Step 6: Final answer
    x = 1,377.78

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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.