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Finding the Fourth Proportional to 9,947.80, 13,728.03 and 5,410.48

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Solution

The fourth proportional to 9,947.80, 13,728.03 and 5,410.48 is: 7,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.80 : 13,728.03 = 5,410.48 : x
  2. Step 2: Convert to fraction form
    9,947.80/13,728.03 = 5,410.48/x
  3. Step 3: Cross multiply
    9,947.80x = 13,728.03 × 5,410.48
  4. Step 4: Simplify right side
    9,947.80x = 74,275,197.43
  5. Step 5: Solve for x
    x = 74,275,197.43/9,947.80
  6. Step 6: Final answer
    x = 7,466.50

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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.