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Finding the Fourth Proportional to 11,808.59, 16,297.65 and 8,971.34

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Solution

The fourth proportional to 11,808.59, 16,297.65 and 8,971.34 is: 12,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.59 : 16,297.65 = 8,971.34 : x
  2. Step 2: Convert to fraction form
    11,808.59/16,297.65 = 8,971.34/x
  3. Step 3: Cross multiply
    11,808.59x = 16,297.65 × 8,971.34
  4. Step 4: Simplify right side
    11,808.59x = 146,211,677.86
  5. Step 5: Solve for x
    x = 146,211,677.86/11,808.59
  6. Step 6: Final answer
    x = 12,381.81

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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.