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Finding the Fourth Proportional to 6,313.60, 9,469.20 and 1,931.20

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Solution

The fourth proportional to 6,313.60, 9,469.20 and 1,931.20 is: 2,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.60 : 9,469.20 = 1,931.20 : x
  2. Step 2: Convert to fraction form
    6,313.60/9,469.20 = 1,931.20/x
  3. Step 3: Cross multiply
    6,313.60x = 9,469.20 × 1,931.20
  4. Step 4: Simplify right side
    6,313.60x = 18,286,919.04
  5. Step 5: Solve for x
    x = 18,286,919.04/6,313.60
  6. Step 6: Final answer
    x = 2,896.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.