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Finding the Fourth Proportional to 2,126.06, 3,189.15 and 587.06

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Solution

The fourth proportional to 2,126.06, 3,189.15 and 587.06 is: 880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.06 : 3,189.15 = 587.06 : x
  2. Step 2: Convert to fraction form
    2,126.06/3,189.15 = 587.06/x
  3. Step 3: Cross multiply
    2,126.06x = 3,189.15 × 587.06
  4. Step 4: Simplify right side
    2,126.06x = 1,872,222.40
  5. Step 5: Solve for x
    x = 1,872,222.40/2,126.06
  6. Step 6: Final answer
    x = 880.61

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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.