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Finding the Fourth Proportional to 7,861.50, 10,844.12 and 4,837.14

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Solution

The fourth proportional to 7,861.50, 10,844.12 and 4,837.14 is: 6,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.50 : 10,844.12 = 4,837.14 : x
  2. Step 2: Convert to fraction form
    7,861.50/10,844.12 = 4,837.14/x
  3. Step 3: Cross multiply
    7,861.50x = 10,844.12 × 4,837.14
  4. Step 4: Simplify right side
    7,861.50x = 52,454,526.62
  5. Step 5: Solve for x
    x = 52,454,526.62/7,861.50
  6. Step 6: Final answer
    x = 6,672.33

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1.5x scale

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.