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Finding the Fourth Proportional to 7,709.76, 10,639.52 and 4,173

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Solution

The fourth proportional to 7,709.76, 10,639.52 and 4,173 is: 5,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.76 : 10,639.52 = 4,173 : x
  2. Step 2: Convert to fraction form
    7,709.76/10,639.52 = 4,173/x
  3. Step 3: Cross multiply
    7,709.76x = 10,639.52 × 4,173
  4. Step 4: Simplify right side
    7,709.76x = 44,398,716.96
  5. Step 5: Solve for x
    x = 44,398,716.96/7,709.76
  6. Step 6: Final answer
    x = 5,758.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.