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Finding the Fourth Proportional to 7,290, 10,936.96 and 2,910.53

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Solution

The fourth proportional to 7,290, 10,936.96 and 2,910.53 is: 4,366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290 : 10,936.96 = 2,910.53 : x
  2. Step 2: Convert to fraction form
    7,290/10,936.96 = 2,910.53/x
  3. Step 3: Cross multiply
    7,290x = 10,936.96 × 2,910.53
  4. Step 4: Simplify right side
    7,290x = 31,832,370.25
  5. Step 5: Solve for x
    x = 31,832,370.25/7,290
  6. Step 6: Final answer
    x = 4,366.58

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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.