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Finding the Fourth Proportional to 6,978.72, 10,465.44 and 2,817.66

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Solution

The fourth proportional to 6,978.72, 10,465.44 and 2,817.66 is: 4,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.72 : 10,465.44 = 2,817.66 : x
  2. Step 2: Convert to fraction form
    6,978.72/10,465.44 = 2,817.66/x
  3. Step 3: Cross multiply
    6,978.72x = 10,465.44 × 2,817.66
  4. Step 4: Simplify right side
    6,978.72x = 29,488,051.67
  5. Step 5: Solve for x
    x = 29,488,051.67/6,978.72
  6. Step 6: Final answer
    x = 4,225.42

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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.