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Finding the Fourth Proportional to 3,407.91, 5,111.91 and 1,216.77

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Solution

The fourth proportional to 3,407.91, 5,111.91 and 1,216.77 is: 1,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.91 : 5,111.91 = 1,216.77 : x
  2. Step 2: Convert to fraction form
    3,407.91/5,111.91 = 1,216.77/x
  3. Step 3: Cross multiply
    3,407.91x = 5,111.91 × 1,216.77
  4. Step 4: Simplify right side
    3,407.91x = 6,220,018.73
  5. Step 5: Solve for x
    x = 6,220,018.73/3,407.91
  6. Step 6: Final answer
    x = 1,825.17

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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.