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Finding the Fourth Proportional to 8,573.76, 12,856.32 and 3,640.68

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Solution

The fourth proportional to 8,573.76, 12,856.32 and 3,640.68 is: 5,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.76 : 12,856.32 = 3,640.68 : x
  2. Step 2: Convert to fraction form
    8,573.76/12,856.32 = 3,640.68/x
  3. Step 3: Cross multiply
    8,573.76x = 12,856.32 × 3,640.68
  4. Step 4: Simplify right side
    8,573.76x = 46,805,747.10
  5. Step 5: Solve for x
    x = 46,805,747.10/8,573.76
  6. Step 6: Final answer
    x = 5,459.19

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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.