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Finding the Fourth Proportional to 8,962, 12,366.12 and 5,185.12

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Solution

The fourth proportional to 8,962, 12,366.12 and 5,185.12 is: 7,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962 : 12,366.12 = 5,185.12 : x
  2. Step 2: Convert to fraction form
    8,962/12,366.12 = 5,185.12/x
  3. Step 3: Cross multiply
    8,962x = 12,366.12 × 5,185.12
  4. Step 4: Simplify right side
    8,962x = 64,119,816.13
  5. Step 5: Solve for x
    x = 64,119,816.13/8,962
  6. Step 6: Final answer
    x = 7,154.63

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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.