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Finding the Fourth Proportional to 8,960.64, 12,366.43 and 4,982.12

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Solution

The fourth proportional to 8,960.64, 12,366.43 and 4,982.12 is: 6,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,960.64 : 12,366.43 = 4,982.12 : x
  2. Step 2: Convert to fraction form
    8,960.64/12,366.43 = 4,982.12/x
  3. Step 3: Cross multiply
    8,960.64x = 12,366.43 × 4,982.12
  4. Step 4: Simplify right side
    8,960.64x = 61,610,951.49
  5. Step 5: Solve for x
    x = 61,610,951.49/8,960.64
  6. Step 6: Final answer
    x = 6,875.73

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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.