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Finding the Fourth Proportional to 2,051.90, 3,077.86 and 591.05

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Solution

The fourth proportional to 2,051.90, 3,077.86 and 591.05 is: 886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.90 : 3,077.86 = 591.05 : x
  2. Step 2: Convert to fraction form
    2,051.90/3,077.86 = 591.05/x
  3. Step 3: Cross multiply
    2,051.90x = 3,077.86 × 591.05
  4. Step 4: Simplify right side
    2,051.90x = 1,819,169.15
  5. Step 5: Solve for x
    x = 1,819,169.15/2,051.90
  6. Step 6: Final answer
    x = 886.58

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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.