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Finding the Fourth Proportional to 8,274.42, 12,407.92 and 2,431.49

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Solution

The fourth proportional to 8,274.42, 12,407.92 and 2,431.49 is: 3,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.42 : 12,407.92 = 2,431.49 : x
  2. Step 2: Convert to fraction form
    8,274.42/12,407.92 = 2,431.49/x
  3. Step 3: Cross multiply
    8,274.42x = 12,407.92 × 2,431.49
  4. Step 4: Simplify right side
    8,274.42x = 30,169,665.28
  5. Step 5: Solve for x
    x = 30,169,665.28/8,274.42
  6. Step 6: Final answer
    x = 3,646.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.