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Finding the Fourth Proportional to 8,216.76, 11,332.50 and 5,231.64

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Solution

The fourth proportional to 8,216.76, 11,332.50 and 5,231.64 is: 7,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.76 : 11,332.50 = 5,231.64 : x
  2. Step 2: Convert to fraction form
    8,216.76/11,332.50 = 5,231.64/x
  3. Step 3: Cross multiply
    8,216.76x = 11,332.50 × 5,231.64
  4. Step 4: Simplify right side
    8,216.76x = 59,287,560.30
  5. Step 5: Solve for x
    x = 59,287,560.30/8,216.76
  6. Step 6: Final answer
    x = 7,215.44

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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.