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Finding the Fourth Proportional to 20,658, 28,507.83 and 11,226.60

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Solution

The fourth proportional to 20,658, 28,507.83 and 11,226.60 is: 15,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658 : 28,507.83 = 11,226.60 : x
  2. Step 2: Convert to fraction form
    20,658/28,507.83 = 11,226.60/x
  3. Step 3: Cross multiply
    20,658x = 28,507.83 × 11,226.60
  4. Step 4: Simplify right side
    20,658x = 320,046,004.28
  5. Step 5: Solve for x
    x = 320,046,004.28/20,658
  6. Step 6: Final answer
    x = 15,492.59

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Why These Related Problems?

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