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Finding the Fourth Proportional to 7,660.78, 10,573.02 and 4,678.33

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Solution

The fourth proportional to 7,660.78, 10,573.02 and 4,678.33 is: 6,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.78 : 10,573.02 = 4,678.33 : x
  2. Step 2: Convert to fraction form
    7,660.78/10,573.02 = 4,678.33/x
  3. Step 3: Cross multiply
    7,660.78x = 10,573.02 × 4,678.33
  4. Step 4: Simplify right side
    7,660.78x = 49,464,076.66
  5. Step 5: Solve for x
    x = 49,464,076.66/7,660.78
  6. Step 6: Final answer
    x = 6,456.79

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1.5x scale

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.