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Finding the Fourth Proportional to 7,026.95, 10,530 and 2,861.87

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Solution

The fourth proportional to 7,026.95, 10,530 and 2,861.87 is: 4,288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.95 : 10,530 = 2,861.87 : x
  2. Step 2: Convert to fraction form
    7,026.95/10,530 = 2,861.87/x
  3. Step 3: Cross multiply
    7,026.95x = 10,530 × 2,861.87
  4. Step 4: Simplify right side
    7,026.95x = 30,135,438.45
  5. Step 5: Solve for x
    x = 30,135,438.45/7,026.95
  6. Step 6: Final answer
    x = 4,288.55

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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.