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Finding the Fourth Proportional to 2,690.44, 4,033.23 and 1,869.10

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Solution

The fourth proportional to 2,690.44, 4,033.23 and 1,869.10 is: 2,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.44 : 4,033.23 = 1,869.10 : x
  2. Step 2: Convert to fraction form
    2,690.44/4,033.23 = 1,869.10/x
  3. Step 3: Cross multiply
    2,690.44x = 4,033.23 × 1,869.10
  4. Step 4: Simplify right side
    2,690.44x = 7,538,510.19
  5. Step 5: Solve for x
    x = 7,538,510.19/2,690.44
  6. Step 6: Final answer
    x = 2,801.96

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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.