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Finding the Fourth Proportional to 7,143.80, 10,717.11 and 2,214.95

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Solution

The fourth proportional to 7,143.80, 10,717.11 and 2,214.95 is: 3,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.80 : 10,717.11 = 2,214.95 : x
  2. Step 2: Convert to fraction form
    7,143.80/10,717.11 = 2,214.95/x
  3. Step 3: Cross multiply
    7,143.80x = 10,717.11 × 2,214.95
  4. Step 4: Simplify right side
    7,143.80x = 23,737,809.21
  5. Step 5: Solve for x
    x = 23,737,809.21/7,143.80
  6. Step 6: Final answer
    x = 3,322.86

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1.5x scale

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.