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Finding the Fourth Proportional to 6,401.78, 9,540.98 and 6,392.06

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Solution

The fourth proportional to 6,401.78, 9,540.98 and 6,392.06 is: 9,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.78 : 9,540.98 = 6,392.06 : x
  2. Step 2: Convert to fraction form
    6,401.78/9,540.98 = 6,392.06/x
  3. Step 3: Cross multiply
    6,401.78x = 9,540.98 × 6,392.06
  4. Step 4: Simplify right side
    6,401.78x = 60,986,516.62
  5. Step 5: Solve for x
    x = 60,986,516.62/6,401.78
  6. Step 6: Final answer
    x = 9,526.49

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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.