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Finding the Fourth Proportional to 9,328.42, 13,924.38 and 8,221.29

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Solution

The fourth proportional to 9,328.42, 13,924.38 and 8,221.29 is: 12,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.42 : 13,924.38 = 8,221.29 : x
  2. Step 2: Convert to fraction form
    9,328.42/13,924.38 = 8,221.29/x
  3. Step 3: Cross multiply
    9,328.42x = 13,924.38 × 8,221.29
  4. Step 4: Simplify right side
    9,328.42x = 114,476,366.05
  5. Step 5: Solve for x
    x = 114,476,366.05/9,328.42
  6. Step 6: Final answer
    x = 12,271.79

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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.