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Finding the Fourth Proportional to 7,143.78, 10,716.17 and 2,212.77

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Solution

The fourth proportional to 7,143.78, 10,716.17 and 2,212.77 is: 3,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.78 : 10,716.17 = 2,212.77 : x
  2. Step 2: Convert to fraction form
    7,143.78/10,716.17 = 2,212.77/x
  3. Step 3: Cross multiply
    7,143.78x = 10,716.17 × 2,212.77
  4. Step 4: Simplify right side
    7,143.78x = 23,712,419.49
  5. Step 5: Solve for x
    x = 23,712,419.49/7,143.78
  6. Step 6: Final answer
    x = 3,319.31

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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.