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Finding the Fourth Proportional to 7,313.66, 10,971.56 and 2,118.86

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Solution

The fourth proportional to 7,313.66, 10,971.56 and 2,118.86 is: 3,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.66 : 10,971.56 = 2,118.86 : x
  2. Step 2: Convert to fraction form
    7,313.66/10,971.56 = 2,118.86/x
  3. Step 3: Cross multiply
    7,313.66x = 10,971.56 × 2,118.86
  4. Step 4: Simplify right side
    7,313.66x = 23,247,150.06
  5. Step 5: Solve for x
    x = 23,247,150.06/7,313.66
  6. Step 6: Final answer
    x = 3,178.60

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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.