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Finding the Fourth Proportional to 7,322.70, 10,971.45 and 3,419.10

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Solution

The fourth proportional to 7,322.70, 10,971.45 and 3,419.10 is: 5,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.70 : 10,971.45 = 3,419.10 : x
  2. Step 2: Convert to fraction form
    7,322.70/10,971.45 = 3,419.10/x
  3. Step 3: Cross multiply
    7,322.70x = 10,971.45 × 3,419.10
  4. Step 4: Simplify right side
    7,322.70x = 37,512,484.70
  5. Step 5: Solve for x
    x = 37,512,484.70/7,322.70
  6. Step 6: Final answer
    x = 5,122.77

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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.