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Finding the Fourth Proportional to 13,737.28, 18,957.36 and 7,449.64

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Solution

The fourth proportional to 13,737.28, 18,957.36 and 7,449.64 is: 10,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.28 : 18,957.36 = 7,449.64 : x
  2. Step 2: Convert to fraction form
    13,737.28/18,957.36 = 7,449.64/x
  3. Step 3: Cross multiply
    13,737.28x = 18,957.36 × 7,449.64
  4. Step 4: Simplify right side
    13,737.28x = 141,225,507.35
  5. Step 5: Solve for x
    x = 141,225,507.35/13,737.28
  6. Step 6: Final answer
    x = 10,280.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.