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Finding the Fourth Proportional to 6,165.12, 9,221.76 and 5,309.76

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Solution

The fourth proportional to 6,165.12, 9,221.76 and 5,309.76 is: 7,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.12 : 9,221.76 = 5,309.76 : x
  2. Step 2: Convert to fraction form
    6,165.12/9,221.76 = 5,309.76/x
  3. Step 3: Cross multiply
    6,165.12x = 9,221.76 × 5,309.76
  4. Step 4: Simplify right side
    6,165.12x = 48,965,332.38
  5. Step 5: Solve for x
    x = 48,965,332.38/6,165.12
  6. Step 6: Final answer
    x = 7,942.32

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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.