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Finding the Fourth Proportional to 19,255, 26,571.90 and 10,871.50

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Solution

The fourth proportional to 19,255, 26,571.90 and 10,871.50 is: 15,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,255 : 26,571.90 = 10,871.50 : x
  2. Step 2: Convert to fraction form
    19,255/26,571.90 = 10,871.50/x
  3. Step 3: Cross multiply
    19,255x = 26,571.90 × 10,871.50
  4. Step 4: Simplify right side
    19,255x = 288,876,410.85
  5. Step 5: Solve for x
    x = 288,876,410.85/19,255
  6. Step 6: Final answer
    x = 15,002.67

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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.