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Finding the Fourth Proportional to 13,783.86, 20,661.35 and 5,783.22

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Solution

The fourth proportional to 13,783.86, 20,661.35 and 5,783.22 is: 8,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.86 : 20,661.35 = 5,783.22 : x
  2. Step 2: Convert to fraction form
    13,783.86/20,661.35 = 5,783.22/x
  3. Step 3: Cross multiply
    13,783.86x = 20,661.35 × 5,783.22
  4. Step 4: Simplify right side
    13,783.86x = 119,489,103.63
  5. Step 5: Solve for x
    x = 119,489,103.63/13,783.86
  6. Step 6: Final answer
    x = 8,668.77

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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.