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Finding the Fourth Proportional to 3,508.74, 5,263.83 and 1,428.74

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Solution

The fourth proportional to 3,508.74, 5,263.83 and 1,428.74 is: 2,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.74 : 5,263.83 = 1,428.74 : x
  2. Step 2: Convert to fraction form
    3,508.74/5,263.83 = 1,428.74/x
  3. Step 3: Cross multiply
    3,508.74x = 5,263.83 × 1,428.74
  4. Step 4: Simplify right side
    3,508.74x = 7,520,644.47
  5. Step 5: Solve for x
    x = 7,520,644.47/3,508.74
  6. Step 6: Final answer
    x = 2,143.40

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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.