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Finding the Fourth Proportional to 3,605.71, 5,409.23 and 1,141.15

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Solution

The fourth proportional to 3,605.71, 5,409.23 and 1,141.15 is: 1,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.71 : 5,409.23 = 1,141.15 : x
  2. Step 2: Convert to fraction form
    3,605.71/5,409.23 = 1,141.15/x
  3. Step 3: Cross multiply
    3,605.71x = 5,409.23 × 1,141.15
  4. Step 4: Simplify right side
    3,605.71x = 6,172,710.06
  5. Step 5: Solve for x
    x = 6,172,710.06/3,605.71
  6. Step 6: Final answer
    x = 1,711.93

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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.