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Finding the Fourth Proportional to 1,901.87, 2,852.84 and 1,025.09

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Solution

The fourth proportional to 1,901.87, 2,852.84 and 1,025.09 is: 1,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.87 : 2,852.84 = 1,025.09 : x
  2. Step 2: Convert to fraction form
    1,901.87/2,852.84 = 1,025.09/x
  3. Step 3: Cross multiply
    1,901.87x = 2,852.84 × 1,025.09
  4. Step 4: Simplify right side
    1,901.87x = 2,924,417.76
  5. Step 5: Solve for x
    x = 2,924,417.76/1,901.87
  6. Step 6: Final answer
    x = 1,537.65

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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.