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Finding the Fourth Proportional to 13,684.94, 20,521.94 and 5,791.08

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Solution

The fourth proportional to 13,684.94, 20,521.94 and 5,791.08 is: 8,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.94 : 20,521.94 = 5,791.08 : x
  2. Step 2: Convert to fraction form
    13,684.94/20,521.94 = 5,791.08/x
  3. Step 3: Cross multiply
    13,684.94x = 20,521.94 × 5,791.08
  4. Step 4: Simplify right side
    13,684.94x = 118,844,167.34
  5. Step 5: Solve for x
    x = 118,844,167.34/13,684.94
  6. Step 6: Final answer
    x = 8,684.31

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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.