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Finding the Fourth Proportional to 2,130.89, 3,196.32 and 591.89

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Solution

The fourth proportional to 2,130.89, 3,196.32 and 591.89 is: 887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.89 : 3,196.32 = 591.89 : x
  2. Step 2: Convert to fraction form
    2,130.89/3,196.32 = 591.89/x
  3. Step 3: Cross multiply
    2,130.89x = 3,196.32 × 591.89
  4. Step 4: Simplify right side
    2,130.89x = 1,891,869.84
  5. Step 5: Solve for x
    x = 1,891,869.84/2,130.89
  6. Step 6: Final answer
    x = 887.83

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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.