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Finding the Fourth Proportional to 6,458.06, 8,920.78 and 5,204

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Solution

The fourth proportional to 6,458.06, 8,920.78 and 5,204 is: 7,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.06 : 8,920.78 = 5,204 : x
  2. Step 2: Convert to fraction form
    6,458.06/8,920.78 = 5,204/x
  3. Step 3: Cross multiply
    6,458.06x = 8,920.78 × 5,204
  4. Step 4: Simplify right side
    6,458.06x = 46,423,739.12
  5. Step 5: Solve for x
    x = 46,423,739.12/6,458.06
  6. Step 6: Final answer
    x = 7,188.50

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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.