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Finding the Fourth Proportional to 3,349.89, 4,623.12 and 1,857.90

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Solution

The fourth proportional to 3,349.89, 4,623.12 and 1,857.90 is: 2,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.89 : 4,623.12 = 1,857.90 : x
  2. Step 2: Convert to fraction form
    3,349.89/4,623.12 = 1,857.90/x
  3. Step 3: Cross multiply
    3,349.89x = 4,623.12 × 1,857.90
  4. Step 4: Simplify right side
    3,349.89x = 8,589,294.65
  5. Step 5: Solve for x
    x = 8,589,294.65/3,349.89
  6. Step 6: Final answer
    x = 2,564.05

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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.