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Finding the Fourth Proportional to 2,130.61, 3,195.92 and 591.61

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Solution

The fourth proportional to 2,130.61, 3,195.92 and 591.61 is: 887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.61 : 3,195.92 = 591.61 : x
  2. Step 2: Convert to fraction form
    2,130.61/3,195.92 = 591.61/x
  3. Step 3: Cross multiply
    2,130.61x = 3,195.92 × 591.61
  4. Step 4: Simplify right side
    2,130.61x = 1,890,727.28
  5. Step 5: Solve for x
    x = 1,890,727.28/2,130.61
  6. Step 6: Final answer
    x = 887.41

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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.