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Finding the Fourth Proportional to 9,188.32, 13,772.76 and 4,509.76

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Solution

The fourth proportional to 9,188.32, 13,772.76 and 4,509.76 is: 6,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.32 : 13,772.76 = 4,509.76 : x
  2. Step 2: Convert to fraction form
    9,188.32/13,772.76 = 4,509.76/x
  3. Step 3: Cross multiply
    9,188.32x = 13,772.76 × 4,509.76
  4. Step 4: Simplify right side
    9,188.32x = 62,111,842.14
  5. Step 5: Solve for x
    x = 62,111,842.14/9,188.32
  6. Step 6: Final answer
    x = 6,759.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.