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Finding the Fourth Proportional to 7,695.69, 11,544.65 and 2,428.91

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Solution

The fourth proportional to 7,695.69, 11,544.65 and 2,428.91 is: 3,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.69 : 11,544.65 = 2,428.91 : x
  2. Step 2: Convert to fraction form
    7,695.69/11,544.65 = 2,428.91/x
  3. Step 3: Cross multiply
    7,695.69x = 11,544.65 × 2,428.91
  4. Step 4: Simplify right side
    7,695.69x = 28,040,903.69
  5. Step 5: Solve for x
    x = 28,040,903.69/7,695.69
  6. Step 6: Final answer
    x = 3,643.72

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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.