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Finding the Fourth Proportional to 1,886, 2,815.25 and 1,747.03

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Solution

The fourth proportional to 1,886, 2,815.25 and 1,747.03 is: 2,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886 : 2,815.25 = 1,747.03 : x
  2. Step 2: Convert to fraction form
    1,886/2,815.25 = 1,747.03/x
  3. Step 3: Cross multiply
    1,886x = 2,815.25 × 1,747.03
  4. Step 4: Simplify right side
    1,886x = 4,918,326.21
  5. Step 5: Solve for x
    x = 4,918,326.21/1,886
  6. Step 6: Final answer
    x = 2,607.81

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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.