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Finding the Fourth Proportional to 10,170, 14,033.83 and 6,190.67

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Solution

The fourth proportional to 10,170, 14,033.83 and 6,190.67 is: 8,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170 : 14,033.83 = 6,190.67 : x
  2. Step 2: Convert to fraction form
    10,170/14,033.83 = 6,190.67/x
  3. Step 3: Cross multiply
    10,170x = 14,033.83 × 6,190.67
  4. Step 4: Simplify right side
    10,170x = 86,878,810.37
  5. Step 5: Solve for x
    x = 86,878,810.37/10,170
  6. Step 6: Final answer
    x = 8,542.66

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Double scale
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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.