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Finding the Fourth Proportional to 2,858.40, 4,287.60 and 910.75

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Solution

The fourth proportional to 2,858.40, 4,287.60 and 910.75 is: 1,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.40 : 4,287.60 = 910.75 : x
  2. Step 2: Convert to fraction form
    2,858.40/4,287.60 = 910.75/x
  3. Step 3: Cross multiply
    2,858.40x = 4,287.60 × 910.75
  4. Step 4: Simplify right side
    2,858.40x = 3,904,931.70
  5. Step 5: Solve for x
    x = 3,904,931.70/2,858.40
  6. Step 6: Final answer
    x = 1,366.13

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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.