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Finding the Fourth Proportional to 3,439, 4,747 and 2,319.22

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Solution

The fourth proportional to 3,439, 4,747 and 2,319.22 is: 3,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439 : 4,747 = 2,319.22 : x
  2. Step 2: Convert to fraction form
    3,439/4,747 = 2,319.22/x
  3. Step 3: Cross multiply
    3,439x = 4,747 × 2,319.22
  4. Step 4: Simplify right side
    3,439x = 11,009,337.34
  5. Step 5: Solve for x
    x = 11,009,337.34/3,439
  6. Step 6: Final answer
    x = 3,201.32

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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.