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Finding the Fourth Proportional to 10,193.88, 15,268.21 and 7,836.51

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Solution

The fourth proportional to 10,193.88, 15,268.21 and 7,836.51 is: 11,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.88 : 15,268.21 = 7,836.51 : x
  2. Step 2: Convert to fraction form
    10,193.88/15,268.21 = 7,836.51/x
  3. Step 3: Cross multiply
    10,193.88x = 15,268.21 × 7,836.51
  4. Step 4: Simplify right side
    10,193.88x = 119,649,480.35
  5. Step 5: Solve for x
    x = 119,649,480.35/10,193.88
  6. Step 6: Final answer
    x = 11,737.38

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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.