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Finding the Fourth Proportional to 2,327.80, 3,491.40 and 684.29

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Solution

The fourth proportional to 2,327.80, 3,491.40 and 684.29 is: 1,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.80 : 3,491.40 = 684.29 : x
  2. Step 2: Convert to fraction form
    2,327.80/3,491.40 = 684.29/x
  3. Step 3: Cross multiply
    2,327.80x = 3,491.40 × 684.29
  4. Step 4: Simplify right side
    2,327.80x = 2,389,130.11
  5. Step 5: Solve for x
    x = 2,389,130.11/2,327.80
  6. Step 6: Final answer
    x = 1,026.35

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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.