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Finding the Fourth Proportional to 6,500.16, 8,969.28 and 3,847.68

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Solution

The fourth proportional to 6,500.16, 8,969.28 and 3,847.68 is: 5,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.16 : 8,969.28 = 3,847.68 : x
  2. Step 2: Convert to fraction form
    6,500.16/8,969.28 = 3,847.68/x
  3. Step 3: Cross multiply
    6,500.16x = 8,969.28 × 3,847.68
  4. Step 4: Simplify right side
    6,500.16x = 34,510,919.27
  5. Step 5: Solve for x
    x = 34,510,919.27/6,500.16
  6. Step 6: Final answer
    x = 5,309.24

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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.