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Finding the Fourth Proportional to 7,785.02, 11,723.18 and 5,608.82

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Solution

The fourth proportional to 7,785.02, 11,723.18 and 5,608.82 is: 8,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.02 : 11,723.18 = 5,608.82 : x
  2. Step 2: Convert to fraction form
    7,785.02/11,723.18 = 5,608.82/x
  3. Step 3: Cross multiply
    7,785.02x = 11,723.18 × 5,608.82
  4. Step 4: Simplify right side
    7,785.02x = 65,753,206.45
  5. Step 5: Solve for x
    x = 65,753,206.45/7,785.02
  6. Step 6: Final answer
    x = 8,446.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.