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Finding the Fourth Proportional to 10,610.85, 14,626.13 and 8,369.08

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Solution

The fourth proportional to 10,610.85, 14,626.13 and 8,369.08 is: 11,536.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.85 : 14,626.13 = 8,369.08 : x
  2. Step 2: Convert to fraction form
    10,610.85/14,626.13 = 8,369.08/x
  3. Step 3: Cross multiply
    10,610.85x = 14,626.13 × 8,369.08
  4. Step 4: Simplify right side
    10,610.85x = 122,407,173.65
  5. Step 5: Solve for x
    x = 122,407,173.65/10,610.85
  6. Step 6: Final answer
    x = 11,536.04

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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.