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Finding the Fourth Proportional to 7,785.17, 11,682.36 and 7,292.61

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Solution

The fourth proportional to 7,785.17, 11,682.36 and 7,292.61 is: 10,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.17 : 11,682.36 = 7,292.61 : x
  2. Step 2: Convert to fraction form
    7,785.17/11,682.36 = 7,292.61/x
  3. Step 3: Cross multiply
    7,785.17x = 11,682.36 × 7,292.61
  4. Step 4: Simplify right side
    7,785.17x = 85,194,884.39
  5. Step 5: Solve for x
    x = 85,194,884.39/7,785.17
  6. Step 6: Final answer
    x = 10,943.23

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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.