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Finding the Fourth Proportional to 13,772.46, 20,658.43 and 4,412.52

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Solution

The fourth proportional to 13,772.46, 20,658.43 and 4,412.52 is: 6,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.46 : 20,658.43 = 4,412.52 : x
  2. Step 2: Convert to fraction form
    13,772.46/20,658.43 = 4,412.52/x
  3. Step 3: Cross multiply
    13,772.46x = 20,658.43 × 4,412.52
  4. Step 4: Simplify right side
    13,772.46x = 91,155,741.06
  5. Step 5: Solve for x
    x = 91,155,741.06/13,772.46
  6. Step 6: Final answer
    x = 6,618.70

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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.