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Finding the Fourth Proportional to 6,458.55, 9,678.59 and 3,679.49

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Solution

The fourth proportional to 6,458.55, 9,678.59 and 3,679.49 is: 5,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.55 : 9,678.59 = 3,679.49 : x
  2. Step 2: Convert to fraction form
    6,458.55/9,678.59 = 3,679.49/x
  3. Step 3: Cross multiply
    6,458.55x = 9,678.59 × 3,679.49
  4. Step 4: Simplify right side
    6,458.55x = 35,612,275.12
  5. Step 5: Solve for x
    x = 35,612,275.12/6,458.55
  6. Step 6: Final answer
    x = 5,513.97

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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.