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Finding the Fourth Proportional to 2,409.88, 3,614.82 and 1,111

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Solution

The fourth proportional to 2,409.88, 3,614.82 and 1,111 is: 1,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.88 : 3,614.82 = 1,111 : x
  2. Step 2: Convert to fraction form
    2,409.88/3,614.82 = 1,111/x
  3. Step 3: Cross multiply
    2,409.88x = 3,614.82 × 1,111
  4. Step 4: Simplify right side
    2,409.88x = 4,016,065.02
  5. Step 5: Solve for x
    x = 4,016,065.02/2,409.88
  6. Step 6: Final answer
    x = 1,666.50

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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.