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Finding the Fourth Proportional to 12,236.56, 16,886.10 and 6,931.84

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Solution

The fourth proportional to 12,236.56, 16,886.10 and 6,931.84 is: 9,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.56 : 16,886.10 = 6,931.84 : x
  2. Step 2: Convert to fraction form
    12,236.56/16,886.10 = 6,931.84/x
  3. Step 3: Cross multiply
    12,236.56x = 16,886.10 × 6,931.84
  4. Step 4: Simplify right side
    12,236.56x = 117,051,743.42
  5. Step 5: Solve for x
    x = 117,051,743.42/12,236.56
  6. Step 6: Final answer
    x = 9,565.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.