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Finding the Fourth Proportional to 6,978.60, 10,454.94 and 4,665.96

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Solution

The fourth proportional to 6,978.60, 10,454.94 and 4,665.96 is: 6,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.60 : 10,454.94 = 4,665.96 : x
  2. Step 2: Convert to fraction form
    6,978.60/10,454.94 = 4,665.96/x
  3. Step 3: Cross multiply
    6,978.60x = 10,454.94 × 4,665.96
  4. Step 4: Simplify right side
    6,978.60x = 48,782,331.84
  5. Step 5: Solve for x
    x = 48,782,331.84/6,978.60
  6. Step 6: Final answer
    x = 6,990.27

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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.