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Finding the Fourth Proportional to 9,600.80, 13,246.80 and 5,409.06

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Solution

The fourth proportional to 9,600.80, 13,246.80 and 5,409.06 is: 7,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.80 : 13,246.80 = 5,409.06 : x
  2. Step 2: Convert to fraction form
    9,600.80/13,246.80 = 5,409.06/x
  3. Step 3: Cross multiply
    9,600.80x = 13,246.80 × 5,409.06
  4. Step 4: Simplify right side
    9,600.80x = 71,652,736.01
  5. Step 5: Solve for x
    x = 71,652,736.01/9,600.80
  6. Step 6: Final answer
    x = 7,463.20

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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.