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Finding the Fourth Proportional to 3,891.23, 5,835.32 and 1,810.84

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Solution

The fourth proportional to 3,891.23, 5,835.32 and 1,810.84 is: 2,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.23 : 5,835.32 = 1,810.84 : x
  2. Step 2: Convert to fraction form
    3,891.23/5,835.32 = 1,810.84/x
  3. Step 3: Cross multiply
    3,891.23x = 5,835.32 × 1,810.84
  4. Step 4: Simplify right side
    3,891.23x = 10,566,807.23
  5. Step 5: Solve for x
    x = 10,566,807.23/3,891.23
  6. Step 6: Final answer
    x = 2,715.55

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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.