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Finding the Fourth Proportional to 2,858.87, 4,287.49 and 1,298

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Solution

The fourth proportional to 2,858.87, 4,287.49 and 1,298 is: 1,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.87 : 4,287.49 = 1,298 : x
  2. Step 2: Convert to fraction form
    2,858.87/4,287.49 = 1,298/x
  3. Step 3: Cross multiply
    2,858.87x = 4,287.49 × 1,298
  4. Step 4: Simplify right side
    2,858.87x = 5,565,162.02
  5. Step 5: Solve for x
    x = 5,565,162.02/2,858.87
  6. Step 6: Final answer
    x = 1,946.63

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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.