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Finding the Fourth Proportional to 8,143.81, 11,243.50 and 6,251.77

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Solution

The fourth proportional to 8,143.81, 11,243.50 and 6,251.77 is: 8,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.81 : 11,243.50 = 6,251.77 : x
  2. Step 2: Convert to fraction form
    8,143.81/11,243.50 = 6,251.77/x
  3. Step 3: Cross multiply
    8,143.81x = 11,243.50 × 6,251.77
  4. Step 4: Simplify right side
    8,143.81x = 70,291,776.00
  5. Step 5: Solve for x
    x = 70,291,776.00/8,143.81
  6. Step 6: Final answer
    x = 8,631.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.