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Finding the Fourth Proportional to 1,901, 2,857.98 and 1,747.37

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Solution

The fourth proportional to 1,901, 2,857.98 and 1,747.37 is: 2,627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901 : 2,857.98 = 1,747.37 : x
  2. Step 2: Convert to fraction form
    1,901/2,857.98 = 1,747.37/x
  3. Step 3: Cross multiply
    1,901x = 2,857.98 × 1,747.37
  4. Step 4: Simplify right side
    1,901x = 4,993,948.51
  5. Step 5: Solve for x
    x = 4,993,948.51/1,901
  6. Step 6: Final answer
    x = 2,627.01

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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.