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Finding the Fourth Proportional to 1,899.01, 2,620.80 and 1,102.63

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Solution

The fourth proportional to 1,899.01, 2,620.80 and 1,102.63 is: 1,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.01 : 2,620.80 = 1,102.63 : x
  2. Step 2: Convert to fraction form
    1,899.01/2,620.80 = 1,102.63/x
  3. Step 3: Cross multiply
    1,899.01x = 2,620.80 × 1,102.63
  4. Step 4: Simplify right side
    1,899.01x = 2,889,772.70
  5. Step 5: Solve for x
    x = 2,889,772.70/1,899.01
  6. Step 6: Final answer
    x = 1,521.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.