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Finding the Fourth Proportional to 7,712.48, 11,572.77 and 4,205

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Solution

The fourth proportional to 7,712.48, 11,572.77 and 4,205 is: 6,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.48 : 11,572.77 = 4,205 : x
  2. Step 2: Convert to fraction form
    7,712.48/11,572.77 = 4,205/x
  3. Step 3: Cross multiply
    7,712.48x = 11,572.77 × 4,205
  4. Step 4: Simplify right side
    7,712.48x = 48,663,497.85
  5. Step 5: Solve for x
    x = 48,663,497.85/7,712.48
  6. Step 6: Final answer
    x = 6,309.71

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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.