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Finding the Fourth Proportional to 7,640.58, 10,544.52 and 4,284

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Solution

The fourth proportional to 7,640.58, 10,544.52 and 4,284 is: 5,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.58 : 10,544.52 = 4,284 : x
  2. Step 2: Convert to fraction form
    7,640.58/10,544.52 = 4,284/x
  3. Step 3: Cross multiply
    7,640.58x = 10,544.52 × 4,284
  4. Step 4: Simplify right side
    7,640.58x = 45,172,723.68
  5. Step 5: Solve for x
    x = 45,172,723.68/7,640.58
  6. Step 6: Final answer
    x = 5,912.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.