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Finding the Fourth Proportional to 8,856.96, 12,209.04 and 7,440

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Solution

The fourth proportional to 8,856.96, 12,209.04 and 7,440 is: 10,255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856.96 : 12,209.04 = 7,440 : x
  2. Step 2: Convert to fraction form
    8,856.96/12,209.04 = 7,440/x
  3. Step 3: Cross multiply
    8,856.96x = 12,209.04 × 7,440
  4. Step 4: Simplify right side
    8,856.96x = 90,835,257.60
  5. Step 5: Solve for x
    x = 90,835,257.60/8,856.96
  6. Step 6: Final answer
    x = 10,255.81

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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.