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Finding the Fourth Proportional to 7,255.86, 10,021.23 and 6,468.54

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Solution

The fourth proportional to 7,255.86, 10,021.23 and 6,468.54 is: 8,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.86 : 10,021.23 = 6,468.54 : x
  2. Step 2: Convert to fraction form
    7,255.86/10,021.23 = 6,468.54/x
  3. Step 3: Cross multiply
    7,255.86x = 10,021.23 × 6,468.54
  4. Step 4: Simplify right side
    7,255.86x = 64,822,727.10
  5. Step 5: Solve for x
    x = 64,822,727.10/7,255.86
  6. Step 6: Final answer
    x = 8,933.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.