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Finding the Fourth Proportional to 7,039.92, 9,715 and 3,896.32

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Solution

The fourth proportional to 7,039.92, 9,715 and 3,896.32 is: 5,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.92 : 9,715 = 3,896.32 : x
  2. Step 2: Convert to fraction form
    7,039.92/9,715 = 3,896.32/x
  3. Step 3: Cross multiply
    7,039.92x = 9,715 × 3,896.32
  4. Step 4: Simplify right side
    7,039.92x = 37,852,748.80
  5. Step 5: Solve for x
    x = 37,852,748.80/7,039.92
  6. Step 6: Final answer
    x = 5,376.87

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1.5x scale

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.