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Finding the Fourth Proportional to 11,905, 16,422.06 and 7,426.60

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Solution

The fourth proportional to 11,905, 16,422.06 and 7,426.60 is: 10,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905 : 16,422.06 = 7,426.60 : x
  2. Step 2: Convert to fraction form
    11,905/16,422.06 = 7,426.60/x
  3. Step 3: Cross multiply
    11,905x = 16,422.06 × 7,426.60
  4. Step 4: Simplify right side
    11,905x = 121,960,070.80
  5. Step 5: Solve for x
    x = 121,960,070.80/11,905
  6. Step 6: Final answer
    x = 10,244.44

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Double scale
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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.