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Finding the Fourth Proportional to 9,163.37, 12,644.37 and 5,130.42

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Solution

The fourth proportional to 9,163.37, 12,644.37 and 5,130.42 is: 7,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.37 : 12,644.37 = 5,130.42 : x
  2. Step 2: Convert to fraction form
    9,163.37/12,644.37 = 5,130.42/x
  3. Step 3: Cross multiply
    9,163.37x = 12,644.37 × 5,130.42
  4. Step 4: Simplify right side
    9,163.37x = 64,870,928.74
  5. Step 5: Solve for x
    x = 64,870,928.74/9,163.37
  6. Step 6: Final answer
    x = 7,079.38

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Double scale
Find fourth proportional to 9,164.37, 12,645.75 and 5,131.42
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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.