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Finding the Fourth Proportional to 9,843.66, 13,581.22 and 6,485.29

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Solution

The fourth proportional to 9,843.66, 13,581.22 and 6,485.29 is: 8,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.66 : 13,581.22 = 6,485.29 : x
  2. Step 2: Convert to fraction form
    9,843.66/13,581.22 = 6,485.29/x
  3. Step 3: Cross multiply
    9,843.66x = 13,581.22 × 6,485.29
  4. Step 4: Simplify right side
    9,843.66x = 88,078,150.25
  5. Step 5: Solve for x
    x = 88,078,150.25/9,843.66
  6. Step 6: Final answer
    x = 8,947.70

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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.