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Finding the Fourth Proportional to 7,322.76, 10,984.14 and 3,429.90

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Solution

The fourth proportional to 7,322.76, 10,984.14 and 3,429.90 is: 5,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.76 : 10,984.14 = 3,429.90 : x
  2. Step 2: Convert to fraction form
    7,322.76/10,984.14 = 3,429.90/x
  3. Step 3: Cross multiply
    7,322.76x = 10,984.14 × 3,429.90
  4. Step 4: Simplify right side
    7,322.76x = 37,674,501.79
  5. Step 5: Solve for x
    x = 37,674,501.79/7,322.76
  6. Step 6: Final answer
    x = 5,144.85

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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.