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Finding the Fourth Proportional to 20,861, 28,788.20 and 11,429.64

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Solution

The fourth proportional to 20,861, 28,788.20 and 11,429.64 is: 15,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861 : 28,788.20 = 11,429.64 : x
  2. Step 2: Convert to fraction form
    20,861/28,788.20 = 11,429.64/x
  3. Step 3: Cross multiply
    20,861x = 28,788.20 × 11,429.64
  4. Step 4: Simplify right side
    20,861x = 329,038,762.25
  5. Step 5: Solve for x
    x = 329,038,762.25/20,861
  6. Step 6: Final answer
    x = 15,772.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.