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Finding the Fourth Proportional to 2,372.39, 3,558.63 and 729

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Solution

The fourth proportional to 2,372.39, 3,558.63 and 729 is: 1,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.39 : 3,558.63 = 729 : x
  2. Step 2: Convert to fraction form
    2,372.39/3,558.63 = 729/x
  3. Step 3: Cross multiply
    2,372.39x = 3,558.63 × 729
  4. Step 4: Simplify right side
    2,372.39x = 2,594,244.00
  5. Step 5: Solve for x
    x = 2,594,244.00/2,372.39
  6. Step 6: Final answer
    x = 1,093.52

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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.