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Finding the Fourth Proportional to 9,375.94, 12,916.78 and 6,538.15

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Solution

The fourth proportional to 9,375.94, 12,916.78 and 6,538.15 is: 9,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.94 : 12,916.78 = 6,538.15 : x
  2. Step 2: Convert to fraction form
    9,375.94/12,916.78 = 6,538.15/x
  3. Step 3: Cross multiply
    9,375.94x = 12,916.78 × 6,538.15
  4. Step 4: Simplify right side
    9,375.94x = 84,451,845.16
  5. Step 5: Solve for x
    x = 84,451,845.16/9,375.94
  6. Step 6: Final answer
    x = 9,007.29

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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.