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Finding the Fourth Proportional to 4,480.83, 6,720.17 and 1,402.83

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Solution

The fourth proportional to 4,480.83, 6,720.17 and 1,402.83 is: 2,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.83 : 6,720.17 = 1,402.83 : x
  2. Step 2: Convert to fraction form
    4,480.83/6,720.17 = 1,402.83/x
  3. Step 3: Cross multiply
    4,480.83x = 6,720.17 × 1,402.83
  4. Step 4: Simplify right side
    4,480.83x = 9,427,249.07
  5. Step 5: Solve for x
    x = 9,427,249.07/4,480.83
  6. Step 6: Final answer
    x = 2,103.91

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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.