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Finding the Fourth Proportional to 11,861.84, 16,368.88 and 6,827.67

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Solution

The fourth proportional to 11,861.84, 16,368.88 and 6,827.67 is: 9,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.84 : 16,368.88 = 6,827.67 : x
  2. Step 2: Convert to fraction form
    11,861.84/16,368.88 = 6,827.67/x
  3. Step 3: Cross multiply
    11,861.84x = 16,368.88 × 6,827.67
  4. Step 4: Simplify right side
    11,861.84x = 111,761,310.91
  5. Step 5: Solve for x
    x = 111,761,310.91/11,861.84
  6. Step 6: Final answer
    x = 9,421.92

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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.