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Finding the Fourth Proportional to 13,762.89, 20,644.53 and 3,374.64

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Solution

The fourth proportional to 13,762.89, 20,644.53 and 3,374.64 is: 5,062.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.89 : 20,644.53 = 3,374.64 : x
  2. Step 2: Convert to fraction form
    13,762.89/20,644.53 = 3,374.64/x
  3. Step 3: Cross multiply
    13,762.89x = 20,644.53 × 3,374.64
  4. Step 4: Simplify right side
    13,762.89x = 69,667,856.72
  5. Step 5: Solve for x
    x = 69,667,856.72/13,762.89
  6. Step 6: Final answer
    x = 5,062.01

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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.