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Finding the Fourth Proportional to 9,571.20, 13,209 and 5,322.48

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Solution

The fourth proportional to 9,571.20, 13,209 and 5,322.48 is: 7,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.20 : 13,209 = 5,322.48 : x
  2. Step 2: Convert to fraction form
    9,571.20/13,209 = 5,322.48/x
  3. Step 3: Cross multiply
    9,571.20x = 13,209 × 5,322.48
  4. Step 4: Simplify right side
    9,571.20x = 70,304,638.32
  5. Step 5: Solve for x
    x = 70,304,638.32/9,571.20
  6. Step 6: Final answer
    x = 7,345.44

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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.