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Finding the Fourth Proportional to 2,136.89, 3,205.35 and 597.89

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Solution

The fourth proportional to 2,136.89, 3,205.35 and 597.89 is: 896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.89 : 3,205.35 = 597.89 : x
  2. Step 2: Convert to fraction form
    2,136.89/3,205.35 = 597.89/x
  3. Step 3: Cross multiply
    2,136.89x = 3,205.35 × 597.89
  4. Step 4: Simplify right side
    2,136.89x = 1,916,446.71
  5. Step 5: Solve for x
    x = 1,916,446.71/2,136.89
  6. Step 6: Final answer
    x = 896.84

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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.