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Finding the Fourth Proportional to 7,730.97, 11,599.71 and 3,785.71

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Solution

The fourth proportional to 7,730.97, 11,599.71 and 3,785.71 is: 5,680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.97 : 11,599.71 = 3,785.71 : x
  2. Step 2: Convert to fraction form
    7,730.97/11,599.71 = 3,785.71/x
  3. Step 3: Cross multiply
    7,730.97x = 11,599.71 × 3,785.71
  4. Step 4: Simplify right side
    7,730.97x = 43,913,109.14
  5. Step 5: Solve for x
    x = 43,913,109.14/7,730.97
  6. Step 6: Final answer
    x = 5,680.16

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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.