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Finding the Fourth Proportional to 11,299.94, 15,589.01 and 6,821.15

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Solution

The fourth proportional to 11,299.94, 15,589.01 and 6,821.15 is: 9,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.94 : 15,589.01 = 6,821.15 : x
  2. Step 2: Convert to fraction form
    11,299.94/15,589.01 = 6,821.15/x
  3. Step 3: Cross multiply
    11,299.94x = 15,589.01 × 6,821.15
  4. Step 4: Simplify right side
    11,299.94x = 106,334,863.51
  5. Step 5: Solve for x
    x = 106,334,863.51/11,299.94
  6. Step 6: Final answer
    x = 9,410.22

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Double scale
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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.