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Finding the Fourth Proportional to 1,853.34, 2,769.14 and 1,788.75

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Solution

The fourth proportional to 1,853.34, 2,769.14 and 1,788.75 is: 2,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.34 : 2,769.14 = 1,788.75 : x
  2. Step 2: Convert to fraction form
    1,853.34/2,769.14 = 1,788.75/x
  3. Step 3: Cross multiply
    1,853.34x = 2,769.14 × 1,788.75
  4. Step 4: Simplify right side
    1,853.34x = 4,953,299.18
  5. Step 5: Solve for x
    x = 4,953,299.18/1,853.34
  6. Step 6: Final answer
    x = 2,672.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.