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Finding the Fourth Proportional to 13,978.26, 20,967.97 and 4,491.54

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Solution

The fourth proportional to 13,978.26, 20,967.97 and 4,491.54 is: 6,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.26 : 20,967.97 = 4,491.54 : x
  2. Step 2: Convert to fraction form
    13,978.26/20,967.97 = 4,491.54/x
  3. Step 3: Cross multiply
    13,978.26x = 20,967.97 × 4,491.54
  4. Step 4: Simplify right side
    13,978.26x = 94,178,475.97
  5. Step 5: Solve for x
    x = 94,178,475.97/13,978.26
  6. Step 6: Final answer
    x = 6,737.50

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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.