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Finding the Fourth Proportional to 1,869.88, 2,809.14 and 1,619.32

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Solution

The fourth proportional to 1,869.88, 2,809.14 and 1,619.32 is: 2,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.88 : 2,809.14 = 1,619.32 : x
  2. Step 2: Convert to fraction form
    1,869.88/2,809.14 = 1,619.32/x
  3. Step 3: Cross multiply
    1,869.88x = 2,809.14 × 1,619.32
  4. Step 4: Simplify right side
    1,869.88x = 4,548,896.58
  5. Step 5: Solve for x
    x = 4,548,896.58/1,869.88
  6. Step 6: Final answer
    x = 2,432.72

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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.