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Finding the Fourth Proportional to 9,316.10, 13,978.76 and 6,861.80

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Solution

The fourth proportional to 9,316.10, 13,978.76 and 6,861.80 is: 10,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.10 : 13,978.76 = 6,861.80 : x
  2. Step 2: Convert to fraction form
    9,316.10/13,978.76 = 6,861.80/x
  3. Step 3: Cross multiply
    9,316.10x = 13,978.76 × 6,861.80
  4. Step 4: Simplify right side
    9,316.10x = 95,919,455.37
  5. Step 5: Solve for x
    x = 95,919,455.37/9,316.10
  6. Step 6: Final answer
    x = 10,296.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.