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Finding the Fourth Proportional to 43,082.86, 64,624.32 and 13,503

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Solution

The fourth proportional to 43,082.86, 64,624.32 and 13,503 is: 20,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,082.86 : 64,624.32 = 13,503 : x
  2. Step 2: Convert to fraction form
    43,082.86/64,624.32 = 13,503/x
  3. Step 3: Cross multiply
    43,082.86x = 64,624.32 × 13,503
  4. Step 4: Simplify right side
    43,082.86x = 872,622,192.96
  5. Step 5: Solve for x
    x = 872,622,192.96/43,082.86
  6. Step 6: Final answer
    x = 20,254.51

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Why These Related Problems?

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