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Finding the Fourth Proportional to 6,339.38, 9,509.09 and 1,722.38

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Solution

The fourth proportional to 6,339.38, 9,509.09 and 1,722.38 is: 2,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.38 : 9,509.09 = 1,722.38 : x
  2. Step 2: Convert to fraction form
    6,339.38/9,509.09 = 1,722.38/x
  3. Step 3: Cross multiply
    6,339.38x = 9,509.09 × 1,722.38
  4. Step 4: Simplify right side
    6,339.38x = 16,378,210.28
  5. Step 5: Solve for x
    x = 16,378,210.28/6,339.38
  6. Step 6: Final answer
    x = 2,583.57

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1.5x scale

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.