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Finding the Fourth Proportional to 10,641.31, 15,971.69 and 8,168.11

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Solution

The fourth proportional to 10,641.31, 15,971.69 and 8,168.11 is: 12,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.31 : 15,971.69 = 8,168.11 : x
  2. Step 2: Convert to fraction form
    10,641.31/15,971.69 = 8,168.11/x
  3. Step 3: Cross multiply
    10,641.31x = 15,971.69 × 8,168.11
  4. Step 4: Simplify right side
    10,641.31x = 130,458,520.81
  5. Step 5: Solve for x
    x = 130,458,520.81/10,641.31
  6. Step 6: Final answer
    x = 12,259.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.