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Finding the Fourth Proportional to 12,406.65, 17,121.24 and 6,741.44

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Solution

The fourth proportional to 12,406.65, 17,121.24 and 6,741.44 is: 9,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.65 : 17,121.24 = 6,741.44 : x
  2. Step 2: Convert to fraction form
    12,406.65/17,121.24 = 6,741.44/x
  3. Step 3: Cross multiply
    12,406.65x = 17,121.24 × 6,741.44
  4. Step 4: Simplify right side
    12,406.65x = 115,421,790.78
  5. Step 5: Solve for x
    x = 115,421,790.78/12,406.65
  6. Step 6: Final answer
    x = 9,303.22

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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.