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Finding the Fourth Proportional to 7,785.41, 11,691.08 and 7,724.93

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Solution

The fourth proportional to 7,785.41, 11,691.08 and 7,724.93 is: 11,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.41 : 11,691.08 = 7,724.93 : x
  2. Step 2: Convert to fraction form
    7,785.41/11,691.08 = 7,724.93/x
  3. Step 3: Cross multiply
    7,785.41x = 11,691.08 × 7,724.93
  4. Step 4: Simplify right side
    7,785.41x = 90,312,736.00
  5. Step 5: Solve for x
    x = 90,312,736.00/7,785.41
  6. Step 6: Final answer
    x = 11,600.25

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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.