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Finding the Fourth Proportional to 2,515.96, 3,774 and 955.78

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Solution

The fourth proportional to 2,515.96, 3,774 and 955.78 is: 1,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.96 : 3,774 = 955.78 : x
  2. Step 2: Convert to fraction form
    2,515.96/3,774 = 955.78/x
  3. Step 3: Cross multiply
    2,515.96x = 3,774 × 955.78
  4. Step 4: Simplify right side
    2,515.96x = 3,607,113.72
  5. Step 5: Solve for x
    x = 3,607,113.72/2,515.96
  6. Step 6: Final answer
    x = 1,433.69

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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.