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Finding the Fourth Proportional to 8,935.84, 12,322.68 and 8,229.52

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Solution

The fourth proportional to 8,935.84, 12,322.68 and 8,229.52 is: 11,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935.84 : 12,322.68 = 8,229.52 : x
  2. Step 2: Convert to fraction form
    8,935.84/12,322.68 = 8,229.52/x
  3. Step 3: Cross multiply
    8,935.84x = 12,322.68 × 8,229.52
  4. Step 4: Simplify right side
    8,935.84x = 101,409,741.51
  5. Step 5: Solve for x
    x = 101,409,741.51/8,935.84
  6. Step 6: Final answer
    x = 11,348.65

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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.