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Finding the Fourth Proportional to 2,890.96, 4,335.99 and 943.15

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Solution

The fourth proportional to 2,890.96, 4,335.99 and 943.15 is: 1,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.96 : 4,335.99 = 943.15 : x
  2. Step 2: Convert to fraction form
    2,890.96/4,335.99 = 943.15/x
  3. Step 3: Cross multiply
    2,890.96x = 4,335.99 × 943.15
  4. Step 4: Simplify right side
    2,890.96x = 4,089,488.97
  5. Step 5: Solve for x
    x = 4,089,488.97/2,890.96
  6. Step 6: Final answer
    x = 1,414.58

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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.