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Finding the Fourth Proportional to 6,580.69, 9,872.34 and 2,139.48

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Solution

The fourth proportional to 6,580.69, 9,872.34 and 2,139.48 is: 3,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.69 : 9,872.34 = 2,139.48 : x
  2. Step 2: Convert to fraction form
    6,580.69/9,872.34 = 2,139.48/x
  3. Step 3: Cross multiply
    6,580.69x = 9,872.34 × 2,139.48
  4. Step 4: Simplify right side
    6,580.69x = 21,121,673.98
  5. Step 5: Solve for x
    x = 21,121,673.98/6,580.69
  6. Step 6: Final answer
    x = 3,209.65

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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.