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Finding the Fourth Proportional to 12,238.35, 16,889.90 and 6,934.47

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Solution

The fourth proportional to 12,238.35, 16,889.90 and 6,934.47 is: 9,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.35 : 16,889.90 = 6,934.47 : x
  2. Step 2: Convert to fraction form
    12,238.35/16,889.90 = 6,934.47/x
  3. Step 3: Cross multiply
    12,238.35x = 16,889.90 × 6,934.47
  4. Step 4: Simplify right side
    12,238.35x = 117,122,470.18
  5. Step 5: Solve for x
    x = 117,122,470.18/12,238.35
  6. Step 6: Final answer
    x = 9,570.12

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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.