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Finding the Fourth Proportional to 9,329.82, 13,921.64 and 8,349.18

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Solution

The fourth proportional to 9,329.82, 13,921.64 and 8,349.18 is: 12,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.82 : 13,921.64 = 8,349.18 : x
  2. Step 2: Convert to fraction form
    9,329.82/13,921.64 = 8,349.18/x
  3. Step 3: Cross multiply
    9,329.82x = 13,921.64 × 8,349.18
  4. Step 4: Simplify right side
    9,329.82x = 116,234,278.26
  5. Step 5: Solve for x
    x = 116,234,278.26/9,329.82
  6. Step 6: Final answer
    x = 12,458.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.