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Finding the Fourth Proportional to 6,912.58, 9,540.10 and 3,929.15

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Solution

The fourth proportional to 6,912.58, 9,540.10 and 3,929.15 is: 5,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.58 : 9,540.10 = 3,929.15 : x
  2. Step 2: Convert to fraction form
    6,912.58/9,540.10 = 3,929.15/x
  3. Step 3: Cross multiply
    6,912.58x = 9,540.10 × 3,929.15
  4. Step 4: Simplify right side
    6,912.58x = 37,484,483.92
  5. Step 5: Solve for x
    x = 37,484,483.92/6,912.58
  6. Step 6: Final answer
    x = 5,422.65

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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.