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Finding the Fourth Proportional to 2,099, 2,895.02 and 1,539.26

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Solution

The fourth proportional to 2,099, 2,895.02 and 1,539.26 is: 2,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099 : 2,895.02 = 1,539.26 : x
  2. Step 2: Convert to fraction form
    2,099/2,895.02 = 1,539.26/x
  3. Step 3: Cross multiply
    2,099x = 2,895.02 × 1,539.26
  4. Step 4: Simplify right side
    2,099x = 4,456,188.49
  5. Step 5: Solve for x
    x = 4,456,188.49/2,099
  6. Step 6: Final answer
    x = 2,123.01

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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.