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Finding the Fourth Proportional to 9,378.10, 12,946.03 and 6,356.97

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Solution

The fourth proportional to 9,378.10, 12,946.03 and 6,356.97 is: 8,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.10 : 12,946.03 = 6,356.97 : x
  2. Step 2: Convert to fraction form
    9,378.10/12,946.03 = 6,356.97/x
  3. Step 3: Cross multiply
    9,378.10x = 12,946.03 × 6,356.97
  4. Step 4: Simplify right side
    9,378.10x = 82,297,524.33
  5. Step 5: Solve for x
    x = 82,297,524.33/9,378.10
  6. Step 6: Final answer
    x = 8,775.50

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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.