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Finding the Fourth Proportional to 2,109.95, 3,165.00 and 1,014.09

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Solution

The fourth proportional to 2,109.95, 3,165.00 and 1,014.09 is: 1,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.95 : 3,165.00 = 1,014.09 : x
  2. Step 2: Convert to fraction form
    2,109.95/3,165.00 = 1,014.09/x
  3. Step 3: Cross multiply
    2,109.95x = 3,165.00 × 1,014.09
  4. Step 4: Simplify right side
    2,109.95x = 3,209,589.78
  5. Step 5: Solve for x
    x = 3,209,589.78/2,109.95
  6. Step 6: Final answer
    x = 1,521.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.