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Finding the Fourth Proportional to 2,858.78, 4,287 and 910.46

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Solution

The fourth proportional to 2,858.78, 4,287 and 910.46 is: 1,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.78 : 4,287 = 910.46 : x
  2. Step 2: Convert to fraction form
    2,858.78/4,287 = 910.46/x
  3. Step 3: Cross multiply
    2,858.78x = 4,287 × 910.46
  4. Step 4: Simplify right side
    2,858.78x = 3,903,142.02
  5. Step 5: Solve for x
    x = 3,903,142.02/2,858.78
  6. Step 6: Final answer
    x = 1,365.32

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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.