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Finding the Fourth Proportional to 5,678.64, 8,509.72 and 2,512.24

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Solution

The fourth proportional to 5,678.64, 8,509.72 and 2,512.24 is: 3,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.64 : 8,509.72 = 2,512.24 : x
  2. Step 2: Convert to fraction form
    5,678.64/8,509.72 = 2,512.24/x
  3. Step 3: Cross multiply
    5,678.64x = 8,509.72 × 2,512.24
  4. Step 4: Simplify right side
    5,678.64x = 21,378,458.97
  5. Step 5: Solve for x
    x = 21,378,458.97/5,678.64
  6. Step 6: Final answer
    x = 3,764.71

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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.