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Finding the Fourth Proportional to 9,328.67, 13,924.75 and 8,221.54

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Solution

The fourth proportional to 9,328.67, 13,924.75 and 8,221.54 is: 12,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.67 : 13,924.75 = 8,221.54 : x
  2. Step 2: Convert to fraction form
    9,328.67/13,924.75 = 8,221.54/x
  3. Step 3: Cross multiply
    9,328.67x = 13,924.75 × 8,221.54
  4. Step 4: Simplify right side
    9,328.67x = 114,482,819.49
  5. Step 5: Solve for x
    x = 114,482,819.49/9,328.67
  6. Step 6: Final answer
    x = 12,272.15

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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.