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Finding the Fourth Proportional to 9,737.20, 14,620.20 and 6,828.40

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Solution

The fourth proportional to 9,737.20, 14,620.20 and 6,828.40 is: 10,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.20 : 14,620.20 = 6,828.40 : x
  2. Step 2: Convert to fraction form
    9,737.20/14,620.20 = 6,828.40/x
  3. Step 3: Cross multiply
    9,737.20x = 14,620.20 × 6,828.40
  4. Step 4: Simplify right side
    9,737.20x = 99,832,573.68
  5. Step 5: Solve for x
    x = 99,832,573.68/9,737.20
  6. Step 6: Final answer
    x = 10,252.70

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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.