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Finding the Fourth Proportional to 2,130.12, 3,195.06 and 591

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Solution

The fourth proportional to 2,130.12, 3,195.06 and 591 is: 886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.12 : 3,195.06 = 591 : x
  2. Step 2: Convert to fraction form
    2,130.12/3,195.06 = 591/x
  3. Step 3: Cross multiply
    2,130.12x = 3,195.06 × 591
  4. Step 4: Simplify right side
    2,130.12x = 1,888,280.46
  5. Step 5: Solve for x
    x = 1,888,280.46/2,130.12
  6. Step 6: Final answer
    x = 886.47

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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.