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Finding the Fourth Proportional to 11,193.59, 15,439.05 and 6,947.12

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Solution

The fourth proportional to 11,193.59, 15,439.05 and 6,947.12 is: 9,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.59 : 15,439.05 = 6,947.12 : x
  2. Step 2: Convert to fraction form
    11,193.59/15,439.05 = 6,947.12/x
  3. Step 3: Cross multiply
    11,193.59x = 15,439.05 × 6,947.12
  4. Step 4: Simplify right side
    11,193.59x = 107,256,855.84
  5. Step 5: Solve for x
    x = 107,256,855.84/11,193.59
  6. Step 6: Final answer
    x = 9,581.99

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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.