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Finding the Fourth Proportional to 9,422.92, 13,001.94 and 6,109

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Solution

The fourth proportional to 9,422.92, 13,001.94 and 6,109 is: 8,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.92 : 13,001.94 = 6,109 : x
  2. Step 2: Convert to fraction form
    9,422.92/13,001.94 = 6,109/x
  3. Step 3: Cross multiply
    9,422.92x = 13,001.94 × 6,109
  4. Step 4: Simplify right side
    9,422.92x = 79,428,851.46
  5. Step 5: Solve for x
    x = 79,428,851.46/9,422.92
  6. Step 6: Final answer
    x = 8,429.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.