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Finding the Fourth Proportional to 9,039.20, 13,537.20 and 7,311.20

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Solution

The fourth proportional to 9,039.20, 13,537.20 and 7,311.20 is: 10,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.20 : 13,537.20 = 7,311.20 : x
  2. Step 2: Convert to fraction form
    9,039.20/13,537.20 = 7,311.20/x
  3. Step 3: Cross multiply
    9,039.20x = 13,537.20 × 7,311.20
  4. Step 4: Simplify right side
    9,039.20x = 98,973,176.64
  5. Step 5: Solve for x
    x = 98,973,176.64/9,039.20
  6. Step 6: Final answer
    x = 10,949.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.