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Finding the Fourth Proportional to 9,144.36, 13,709.18 and 8,415.24

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Solution

The fourth proportional to 9,144.36, 13,709.18 and 8,415.24 is: 12,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.36 : 13,709.18 = 8,415.24 : x
  2. Step 2: Convert to fraction form
    9,144.36/13,709.18 = 8,415.24/x
  3. Step 3: Cross multiply
    9,144.36x = 13,709.18 × 8,415.24
  4. Step 4: Simplify right side
    9,144.36x = 115,366,039.90
  5. Step 5: Solve for x
    x = 115,366,039.90/9,144.36
  6. Step 6: Final answer
    x = 12,616.09

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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.