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Finding the Fourth Proportional to 12,578.42, 17,358.32 and 6,913.28

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Solution

The fourth proportional to 12,578.42, 17,358.32 and 6,913.28 is: 9,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.42 : 17,358.32 = 6,913.28 : x
  2. Step 2: Convert to fraction form
    12,578.42/17,358.32 = 6,913.28/x
  3. Step 3: Cross multiply
    12,578.42x = 17,358.32 × 6,913.28
  4. Step 4: Simplify right side
    12,578.42x = 120,002,926.49
  5. Step 5: Solve for x
    x = 120,002,926.49/12,578.42
  6. Step 6: Final answer
    x = 9,540.38

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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.