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Finding the Fourth Proportional to 11,234.14, 15,493.98 and 9,886.84

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Solution

The fourth proportional to 11,234.14, 15,493.98 and 9,886.84 is: 13,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.14 : 15,493.98 = 9,886.84 : x
  2. Step 2: Convert to fraction form
    11,234.14/15,493.98 = 9,886.84/x
  3. Step 3: Cross multiply
    11,234.14x = 15,493.98 × 9,886.84
  4. Step 4: Simplify right side
    11,234.14x = 153,186,501.22
  5. Step 5: Solve for x
    x = 153,186,501.22/11,234.14
  6. Step 6: Final answer
    x = 13,635.80

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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.