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Finding the Fourth Proportional to 2,051.34, 3,073.77 and 1,591.80

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Solution

The fourth proportional to 2,051.34, 3,073.77 and 1,591.80 is: 2,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.34 : 3,073.77 = 1,591.80 : x
  2. Step 2: Convert to fraction form
    2,051.34/3,073.77 = 1,591.80/x
  3. Step 3: Cross multiply
    2,051.34x = 3,073.77 × 1,591.80
  4. Step 4: Simplify right side
    2,051.34x = 4,892,827.09
  5. Step 5: Solve for x
    x = 4,892,827.09/2,051.34
  6. Step 6: Final answer
    x = 2,385.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.