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Finding the Fourth Proportional to 6,991.44, 9,641.04 and 6,384.48

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Solution

The fourth proportional to 6,991.44, 9,641.04 and 6,384.48 is: 8,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.44 : 9,641.04 = 6,384.48 : x
  2. Step 2: Convert to fraction form
    6,991.44/9,641.04 = 6,384.48/x
  3. Step 3: Cross multiply
    6,991.44x = 9,641.04 × 6,384.48
  4. Step 4: Simplify right side
    6,991.44x = 61,553,027.06
  5. Step 5: Solve for x
    x = 61,553,027.06/6,991.44
  6. Step 6: Final answer
    x = 8,804.06

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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.