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Finding the Fourth Proportional to 13,790.62, 20,683.45 and 5,897.58

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Solution

The fourth proportional to 13,790.62, 20,683.45 and 5,897.58 is: 8,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.62 : 20,683.45 = 5,897.58 : x
  2. Step 2: Convert to fraction form
    13,790.62/20,683.45 = 5,897.58/x
  3. Step 3: Cross multiply
    13,790.62x = 20,683.45 × 5,897.58
  4. Step 4: Simplify right side
    13,790.62x = 121,982,208.74
  5. Step 5: Solve for x
    x = 121,982,208.74/13,790.62
  6. Step 6: Final answer
    x = 8,845.30

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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.