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Finding the Fourth Proportional to 7,317.92, 10,978.48 and 2,124.24

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Solution

The fourth proportional to 7,317.92, 10,978.48 and 2,124.24 is: 3,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.92 : 10,978.48 = 2,124.24 : x
  2. Step 2: Convert to fraction form
    7,317.92/10,978.48 = 2,124.24/x
  3. Step 3: Cross multiply
    7,317.92x = 10,978.48 × 2,124.24
  4. Step 4: Simplify right side
    7,317.92x = 23,320,926.36
  5. Step 5: Solve for x
    x = 23,320,926.36/7,317.92
  6. Step 6: Final answer
    x = 3,186.82

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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.