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Finding the Fourth Proportional to 7,846, 10,817.88 and 6,162.16

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Solution

The fourth proportional to 7,846, 10,817.88 and 6,162.16 is: 8,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846 : 10,817.88 = 6,162.16 : x
  2. Step 2: Convert to fraction form
    7,846/10,817.88 = 6,162.16/x
  3. Step 3: Cross multiply
    7,846x = 10,817.88 × 6,162.16
  4. Step 4: Simplify right side
    7,846x = 66,661,507.42
  5. Step 5: Solve for x
    x = 66,661,507.42/7,846
  6. Step 6: Final answer
    x = 8,496.24

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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.