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Finding the Fourth Proportional to 2,590.59, 3,886.06 and 741.86

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Solution

The fourth proportional to 2,590.59, 3,886.06 and 741.86 is: 1,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.59 : 3,886.06 = 741.86 : x
  2. Step 2: Convert to fraction form
    2,590.59/3,886.06 = 741.86/x
  3. Step 3: Cross multiply
    2,590.59x = 3,886.06 × 741.86
  4. Step 4: Simplify right side
    2,590.59x = 2,882,912.47
  5. Step 5: Solve for x
    x = 2,882,912.47/2,590.59
  6. Step 6: Final answer
    x = 1,112.84

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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.