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Finding the Fourth Proportional to 7,240.88, 9,992.82 and 4,257.68

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Solution

The fourth proportional to 7,240.88, 9,992.82 and 4,257.68 is: 5,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.88 : 9,992.82 = 4,257.68 : x
  2. Step 2: Convert to fraction form
    7,240.88/9,992.82 = 4,257.68/x
  3. Step 3: Cross multiply
    7,240.88x = 9,992.82 × 4,257.68
  4. Step 4: Simplify right side
    7,240.88x = 42,546,229.86
  5. Step 5: Solve for x
    x = 42,546,229.86/7,240.88
  6. Step 6: Final answer
    x = 5,875.84

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1.5x scale

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.