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Finding the Fourth Proportional to 2,590.94, 3,885.67 and 741.56

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Solution

The fourth proportional to 2,590.94, 3,885.67 and 741.56 is: 1,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.94 : 3,885.67 = 741.56 : x
  2. Step 2: Convert to fraction form
    2,590.94/3,885.67 = 741.56/x
  3. Step 3: Cross multiply
    2,590.94x = 3,885.67 × 741.56
  4. Step 4: Simplify right side
    2,590.94x = 2,881,438.94
  5. Step 5: Solve for x
    x = 2,881,438.94/2,590.94
  6. Step 6: Final answer
    x = 1,112.12

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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.