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Finding the Fourth Proportional to 11,246.76, 15,527.16 and 7,715.16

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Solution

The fourth proportional to 11,246.76, 15,527.16 and 7,715.16 is: 10,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.76 : 15,527.16 = 7,715.16 : x
  2. Step 2: Convert to fraction form
    11,246.76/15,527.16 = 7,715.16/x
  3. Step 3: Cross multiply
    11,246.76x = 15,527.16 × 7,715.16
  4. Step 4: Simplify right side
    11,246.76x = 119,794,523.75
  5. Step 5: Solve for x
    x = 119,794,523.75/11,246.76
  6. Step 6: Final answer
    x = 10,651.47

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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.