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Finding the Fourth Proportional to 1,869, 2,803.14 and 636.40

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Solution

The fourth proportional to 1,869, 2,803.14 and 636.40 is: 954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869 : 2,803.14 = 636.40 : x
  2. Step 2: Convert to fraction form
    1,869/2,803.14 = 636.40/x
  3. Step 3: Cross multiply
    1,869x = 2,803.14 × 636.40
  4. Step 4: Simplify right side
    1,869x = 1,783,918.30
  5. Step 5: Solve for x
    x = 1,783,918.30/1,869
  6. Step 6: Final answer
    x = 954.48

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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.