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Finding the Fourth Proportional to 13,732, 20,602.10 and 9,737.08

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Solution

The fourth proportional to 13,732, 20,602.10 and 9,737.08 is: 14,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732 : 20,602.10 = 9,737.08 : x
  2. Step 2: Convert to fraction form
    13,732/20,602.10 = 9,737.08/x
  3. Step 3: Cross multiply
    13,732x = 20,602.10 × 9,737.08
  4. Step 4: Simplify right side
    13,732x = 200,604,295.87
  5. Step 5: Solve for x
    x = 200,604,295.87/13,732
  6. Step 6: Final answer
    x = 14,608.53

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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.