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Finding the Fourth Proportional to 6,458.56, 9,678.58 and 3,679.48

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Solution

The fourth proportional to 6,458.56, 9,678.58 and 3,679.48 is: 5,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.56 : 9,678.58 = 3,679.48 : x
  2. Step 2: Convert to fraction form
    6,458.56/9,678.58 = 3,679.48/x
  3. Step 3: Cross multiply
    6,458.56x = 9,678.58 × 3,679.48
  4. Step 4: Simplify right side
    6,458.56x = 35,612,141.54
  5. Step 5: Solve for x
    x = 35,612,141.54/6,458.56
  6. Step 6: Final answer
    x = 5,513.94

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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.