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Finding the Fourth Proportional to 3,680.09, 5,520 and 906.77

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Solution

The fourth proportional to 3,680.09, 5,520 and 906.77 is: 1,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.09 : 5,520 = 906.77 : x
  2. Step 2: Convert to fraction form
    3,680.09/5,520 = 906.77/x
  3. Step 3: Cross multiply
    3,680.09x = 5,520 × 906.77
  4. Step 4: Simplify right side
    3,680.09x = 5,005,370.40
  5. Step 5: Solve for x
    x = 5,005,370.40/3,680.09
  6. Step 6: Final answer
    x = 1,360.12

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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.