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Finding the Fourth Proportional to 10,170, 14,029.62 and 6,391.26

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Solution

The fourth proportional to 10,170, 14,029.62 and 6,391.26 is: 8,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170 : 14,029.62 = 6,391.26 : x
  2. Step 2: Convert to fraction form
    10,170/14,029.62 = 6,391.26/x
  3. Step 3: Cross multiply
    10,170x = 14,029.62 × 6,391.26
  4. Step 4: Simplify right side
    10,170x = 89,666,949.12
  5. Step 5: Solve for x
    x = 89,666,949.12/10,170
  6. Step 6: Final answer
    x = 8,816.81

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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.