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Finding the Fourth Proportional to 10,161.68, 14,019 and 6,179.60

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Solution

The fourth proportional to 10,161.68, 14,019 and 6,179.60 is: 8,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.68 : 14,019 = 6,179.60 : x
  2. Step 2: Convert to fraction form
    10,161.68/14,019 = 6,179.60/x
  3. Step 3: Cross multiply
    10,161.68x = 14,019 × 6,179.60
  4. Step 4: Simplify right side
    10,161.68x = 86,631,812.40
  5. Step 5: Solve for x
    x = 86,631,812.40/10,161.68
  6. Step 6: Final answer
    x = 8,525.34

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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.