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Finding the Fourth Proportional to 3,486.26, 4,810.87 and 1,892.87

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Solution

The fourth proportional to 3,486.26, 4,810.87 and 1,892.87 is: 2,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.26 : 4,810.87 = 1,892.87 : x
  2. Step 2: Convert to fraction form
    3,486.26/4,810.87 = 1,892.87/x
  3. Step 3: Cross multiply
    3,486.26x = 4,810.87 × 1,892.87
  4. Step 4: Simplify right side
    3,486.26x = 9,106,351.50
  5. Step 5: Solve for x
    x = 9,106,351.50/3,486.26
  6. Step 6: Final answer
    x = 2,612.07

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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.