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Finding the Fourth Proportional to 20,362.50, 28,102.50 and 11,410.83

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Solution

The fourth proportional to 20,362.50, 28,102.50 and 11,410.83 is: 15,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,362.50 : 28,102.50 = 11,410.83 : x
  2. Step 2: Convert to fraction form
    20,362.50/28,102.50 = 11,410.83/x
  3. Step 3: Cross multiply
    20,362.50x = 28,102.50 × 11,410.83
  4. Step 4: Simplify right side
    20,362.50x = 320,672,850.08
  5. Step 5: Solve for x
    x = 320,672,850.08/20,362.50
  6. Step 6: Final answer
    x = 15,748.21

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1.5x scale

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.