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Finding the Fourth Proportional to 9,221.16, 12,715.16 and 6,231.81

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Solution

The fourth proportional to 9,221.16, 12,715.16 and 6,231.81 is: 8,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.16 : 12,715.16 = 6,231.81 : x
  2. Step 2: Convert to fraction form
    9,221.16/12,715.16 = 6,231.81/x
  3. Step 3: Cross multiply
    9,221.16x = 12,715.16 × 6,231.81
  4. Step 4: Simplify right side
    9,221.16x = 79,238,461.24
  5. Step 5: Solve for x
    x = 79,238,461.24/9,221.16
  6. Step 6: Final answer
    x = 8,593.11

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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.