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Finding the Fourth Proportional to 15,878, 23,811.06 and 12,750.32

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Solution

The fourth proportional to 15,878, 23,811.06 and 12,750.32 is: 19,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878 : 23,811.06 = 12,750.32 : x
  2. Step 2: Convert to fraction form
    15,878/23,811.06 = 12,750.32/x
  3. Step 3: Cross multiply
    15,878x = 23,811.06 × 12,750.32
  4. Step 4: Simplify right side
    15,878x = 303,598,634.54
  5. Step 5: Solve for x
    x = 303,598,634.54/15,878
  6. Step 6: Final answer
    x = 19,120.71

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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.