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Finding the Fourth Proportional to 13,967.57, 20,951.63 and 5,200.71

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Solution

The fourth proportional to 13,967.57, 20,951.63 and 5,200.71 is: 7,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.57 : 20,951.63 = 5,200.71 : x
  2. Step 2: Convert to fraction form
    13,967.57/20,951.63 = 5,200.71/x
  3. Step 3: Cross multiply
    13,967.57x = 20,951.63 × 5,200.71
  4. Step 4: Simplify right side
    13,967.57x = 108,963,325.65
  5. Step 5: Solve for x
    x = 108,963,325.65/13,967.57
  6. Step 6: Final answer
    x = 7,801.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.