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Finding the Fourth Proportional to 2,858.40, 4,286.68 and 910.15

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Solution

The fourth proportional to 2,858.40, 4,286.68 and 910.15 is: 1,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.40 : 4,286.68 = 910.15 : x
  2. Step 2: Convert to fraction form
    2,858.40/4,286.68 = 910.15/x
  3. Step 3: Cross multiply
    2,858.40x = 4,286.68 × 910.15
  4. Step 4: Simplify right side
    2,858.40x = 3,901,521.80
  5. Step 5: Solve for x
    x = 3,901,521.80/2,858.40
  6. Step 6: Final answer
    x = 1,364.93

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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.