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Finding the Fourth Proportional to 13,980.87, 20,951.53 and 7,743.74

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Solution

The fourth proportional to 13,980.87, 20,951.53 and 7,743.74 is: 11,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.87 : 20,951.53 = 7,743.74 : x
  2. Step 2: Convert to fraction form
    13,980.87/20,951.53 = 7,743.74/x
  3. Step 3: Cross multiply
    13,980.87x = 20,951.53 × 7,743.74
  4. Step 4: Simplify right side
    13,980.87x = 162,243,076.81
  5. Step 5: Solve for x
    x = 162,243,076.81/13,980.87
  6. Step 6: Final answer
    x = 11,604.65

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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.