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Finding the Fourth Proportional to 15,157.25, 20,917.01 and 8,533.25

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Solution

The fourth proportional to 15,157.25, 20,917.01 and 8,533.25 is: 11,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157.25 : 20,917.01 = 8,533.25 : x
  2. Step 2: Convert to fraction form
    15,157.25/20,917.01 = 8,533.25/x
  3. Step 3: Cross multiply
    15,157.25x = 20,917.01 × 8,533.25
  4. Step 4: Simplify right side
    15,157.25x = 178,490,032.92
  5. Step 5: Solve for x
    x = 178,490,032.92/15,157.25
  6. Step 6: Final answer
    x = 11,775.89

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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.