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Finding the Fourth Proportional to 6,939.40, 10,409.10 and 2,322.40

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Solution

The fourth proportional to 6,939.40, 10,409.10 and 2,322.40 is: 3,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.40 : 10,409.10 = 2,322.40 : x
  2. Step 2: Convert to fraction form
    6,939.40/10,409.10 = 2,322.40/x
  3. Step 3: Cross multiply
    6,939.40x = 10,409.10 × 2,322.40
  4. Step 4: Simplify right side
    6,939.40x = 24,174,093.84
  5. Step 5: Solve for x
    x = 24,174,093.84/6,939.40
  6. Step 6: Final answer
    x = 3,483.60

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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.