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Finding the Fourth Proportional to 8,216.72, 11,302.22 and 7,203.41

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Solution

The fourth proportional to 8,216.72, 11,302.22 and 7,203.41 is: 9,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.72 : 11,302.22 = 7,203.41 : x
  2. Step 2: Convert to fraction form
    8,216.72/11,302.22 = 7,203.41/x
  3. Step 3: Cross multiply
    8,216.72x = 11,302.22 × 7,203.41
  4. Step 4: Simplify right side
    8,216.72x = 81,414,486.07
  5. Step 5: Solve for x
    x = 81,414,486.07/8,216.72
  6. Step 6: Final answer
    x = 9,908.40

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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.