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Finding the Fourth Proportional to 7,143.92, 9,856.68 and 4,347.44

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Solution

The fourth proportional to 7,143.92, 9,856.68 and 4,347.44 is: 5,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.92 : 9,856.68 = 4,347.44 : x
  2. Step 2: Convert to fraction form
    7,143.92/9,856.68 = 4,347.44/x
  3. Step 3: Cross multiply
    7,143.92x = 9,856.68 × 4,347.44
  4. Step 4: Simplify right side
    7,143.92x = 42,851,324.90
  5. Step 5: Solve for x
    x = 42,851,324.90/7,143.92
  6. Step 6: Final answer
    x = 5,998.29

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1.5x scale

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.