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Finding the Fourth Proportional to 6,409.70, 9,615.81 and 2,711.90

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Solution

The fourth proportional to 6,409.70, 9,615.81 and 2,711.90 is: 4,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.70 : 9,615.81 = 2,711.90 : x
  2. Step 2: Convert to fraction form
    6,409.70/9,615.81 = 2,711.90/x
  3. Step 3: Cross multiply
    6,409.70x = 9,615.81 × 2,711.90
  4. Step 4: Simplify right side
    6,409.70x = 26,077,115.14
  5. Step 5: Solve for x
    x = 26,077,115.14/6,409.70
  6. Step 6: Final answer
    x = 4,068.38

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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.