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Finding the Fourth Proportional to 11,781.60, 16,258.10 and 6,476.10

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Solution

The fourth proportional to 11,781.60, 16,258.10 and 6,476.10 is: 8,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.60 : 16,258.10 = 6,476.10 : x
  2. Step 2: Convert to fraction form
    11,781.60/16,258.10 = 6,476.10/x
  3. Step 3: Cross multiply
    11,781.60x = 16,258.10 × 6,476.10
  4. Step 4: Simplify right side
    11,781.60x = 105,289,049.03
  5. Step 5: Solve for x
    x = 105,289,049.03/11,781.60
  6. Step 6: Final answer
    x = 8,936.74

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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.