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Finding the Fourth Proportional to 13,227.78, 19,811.42 and 8,596.74

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Solution

The fourth proportional to 13,227.78, 19,811.42 and 8,596.74 is: 12,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.78 : 19,811.42 = 8,596.74 : x
  2. Step 2: Convert to fraction form
    13,227.78/19,811.42 = 8,596.74/x
  3. Step 3: Cross multiply
    13,227.78x = 19,811.42 × 8,596.74
  4. Step 4: Simplify right side
    13,227.78x = 170,313,626.77
  5. Step 5: Solve for x
    x = 170,313,626.77/13,227.78
  6. Step 6: Final answer
    x = 12,875.45

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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.