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Finding the Fourth Proportional to 13,370.58, 20,038.50 and 5,463.86

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Solution

The fourth proportional to 13,370.58, 20,038.50 and 5,463.86 is: 8,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,370.58 : 20,038.50 = 5,463.86 : x
  2. Step 2: Convert to fraction form
    13,370.58/20,038.50 = 5,463.86/x
  3. Step 3: Cross multiply
    13,370.58x = 20,038.50 × 5,463.86
  4. Step 4: Simplify right side
    13,370.58x = 109,487,458.42
  5. Step 5: Solve for x
    x = 109,487,458.42/13,370.58
  6. Step 6: Final answer
    x = 8,188.68

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