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Finding the Fourth Proportional to 1,858.74, 2,788.89 and 1,447.26

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Solution

The fourth proportional to 1,858.74, 2,788.89 and 1,447.26 is: 2,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.74 : 2,788.89 = 1,447.26 : x
  2. Step 2: Convert to fraction form
    1,858.74/2,788.89 = 1,447.26/x
  3. Step 3: Cross multiply
    1,858.74x = 2,788.89 × 1,447.26
  4. Step 4: Simplify right side
    1,858.74x = 4,036,248.94
  5. Step 5: Solve for x
    x = 4,036,248.94/1,858.74
  6. Step 6: Final answer
    x = 2,171.50

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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.