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Finding the Fourth Proportional to 2,051.88, 3,078.40 and 591.16

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Solution

The fourth proportional to 2,051.88, 3,078.40 and 591.16 is: 886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.88 : 3,078.40 = 591.16 : x
  2. Step 2: Convert to fraction form
    2,051.88/3,078.40 = 591.16/x
  3. Step 3: Cross multiply
    2,051.88x = 3,078.40 × 591.16
  4. Step 4: Simplify right side
    2,051.88x = 1,819,826.94
  5. Step 5: Solve for x
    x = 1,819,826.94/2,051.88
  6. Step 6: Final answer
    x = 886.91

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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.