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Finding the Fourth Proportional to 6,856.03, 9,465.90 and 6,385.14

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Solution

The fourth proportional to 6,856.03, 9,465.90 and 6,385.14 is: 8,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.03 : 9,465.90 = 6,385.14 : x
  2. Step 2: Convert to fraction form
    6,856.03/9,465.90 = 6,385.14/x
  3. Step 3: Cross multiply
    6,856.03x = 9,465.90 × 6,385.14
  4. Step 4: Simplify right side
    6,856.03x = 60,441,096.73
  5. Step 5: Solve for x
    x = 60,441,096.73/6,856.03
  6. Step 6: Final answer
    x = 8,815.76

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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.