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Finding the Fourth Proportional to 13,791.48, 20,680.74 and 4,551

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Solution

The fourth proportional to 13,791.48, 20,680.74 and 4,551 is: 6,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.48 : 20,680.74 = 4,551 : x
  2. Step 2: Convert to fraction form
    13,791.48/20,680.74 = 4,551/x
  3. Step 3: Cross multiply
    13,791.48x = 20,680.74 × 4,551
  4. Step 4: Simplify right side
    13,791.48x = 94,118,047.74
  5. Step 5: Solve for x
    x = 94,118,047.74/13,791.48
  6. Step 6: Final answer
    x = 6,824.36

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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.