Home / 1,901.25-2,852.44-861.40

Finding the Fourth Proportional to 1,901.25, 2,852.44 and 861.40

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Solution

The fourth proportional to 1,901.25, 2,852.44 and 861.40 is: 1,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.25 : 2,852.44 = 861.40 : x
  2. Step 2: Convert to fraction form
    1,901.25/2,852.44 = 861.40/x
  3. Step 3: Cross multiply
    1,901.25x = 2,852.44 × 861.40
  4. Step 4: Simplify right side
    1,901.25x = 2,457,083.62
  5. Step 5: Solve for x
    x = 2,457,083.62/1,901.25
  6. Step 6: Final answer
    x = 1,292.35

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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.