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Finding the Fourth Proportional to 13,859.74, 20,783.04 and 4,494.52

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Solution

The fourth proportional to 13,859.74, 20,783.04 and 4,494.52 is: 6,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.74 : 20,783.04 = 4,494.52 : x
  2. Step 2: Convert to fraction form
    13,859.74/20,783.04 = 4,494.52/x
  3. Step 3: Cross multiply
    13,859.74x = 20,783.04 × 4,494.52
  4. Step 4: Simplify right side
    13,859.74x = 93,409,788.94
  5. Step 5: Solve for x
    x = 93,409,788.94/13,859.74
  6. Step 6: Final answer
    x = 6,739.65

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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.