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Finding the Fourth Proportional to 7,313.85, 10,971.84 and 2,119.05

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Solution

The fourth proportional to 7,313.85, 10,971.84 and 2,119.05 is: 3,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.85 : 10,971.84 = 2,119.05 : x
  2. Step 2: Convert to fraction form
    7,313.85/10,971.84 = 2,119.05/x
  3. Step 3: Cross multiply
    7,313.85x = 10,971.84 × 2,119.05
  4. Step 4: Simplify right side
    7,313.85x = 23,249,877.55
  5. Step 5: Solve for x
    x = 23,249,877.55/7,313.85
  6. Step 6: Final answer
    x = 3,178.88

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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.