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Finding the Fourth Proportional to 2,479.72, 3,420 and 2,107.72

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Solution

The fourth proportional to 2,479.72, 3,420 and 2,107.72 is: 2,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.72 : 3,420 = 2,107.72 : x
  2. Step 2: Convert to fraction form
    2,479.72/3,420 = 2,107.72/x
  3. Step 3: Cross multiply
    2,479.72x = 3,420 × 2,107.72
  4. Step 4: Simplify right side
    2,479.72x = 7,208,402.40
  5. Step 5: Solve for x
    x = 7,208,402.40/2,479.72
  6. Step 6: Final answer
    x = 2,906.94

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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.