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Finding the Fourth Proportional to 7,709.32, 11,551.68 and 4,581.91

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Solution

The fourth proportional to 7,709.32, 11,551.68 and 4,581.91 is: 6,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.32 : 11,551.68 = 4,581.91 : x
  2. Step 2: Convert to fraction form
    7,709.32/11,551.68 = 4,581.91/x
  3. Step 3: Cross multiply
    7,709.32x = 11,551.68 × 4,581.91
  4. Step 4: Simplify right side
    7,709.32x = 52,928,772.55
  5. Step 5: Solve for x
    x = 52,928,772.55/7,709.32
  6. Step 6: Final answer
    x = 6,865.56

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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.