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Finding the Fourth Proportional to 3,215.10, 4,822.11 and 906.06

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Solution

The fourth proportional to 3,215.10, 4,822.11 and 906.06 is: 1,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.10 : 4,822.11 = 906.06 : x
  2. Step 2: Convert to fraction form
    3,215.10/4,822.11 = 906.06/x
  3. Step 3: Cross multiply
    3,215.10x = 4,822.11 × 906.06
  4. Step 4: Simplify right side
    3,215.10x = 4,369,120.99
  5. Step 5: Solve for x
    x = 4,369,120.99/3,215.10
  6. Step 6: Final answer
    x = 1,358.94

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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.