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Finding the Fourth Proportional to 11,808.61, 16,297.65 and 8,971.31

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Solution

The fourth proportional to 11,808.61, 16,297.65 and 8,971.31 is: 12,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.61 : 16,297.65 = 8,971.31 : x
  2. Step 2: Convert to fraction form
    11,808.61/16,297.65 = 8,971.31/x
  3. Step 3: Cross multiply
    11,808.61x = 16,297.65 × 8,971.31
  4. Step 4: Simplify right side
    11,808.61x = 146,211,311.17
  5. Step 5: Solve for x
    x = 146,211,311.17/11,808.61
  6. Step 6: Final answer
    x = 12,381.76

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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.