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Finding the Fourth Proportional to 7,828.80, 11,722.02 and 5,732.93

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Solution

The fourth proportional to 7,828.80, 11,722.02 and 5,732.93 is: 8,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.80 : 11,722.02 = 5,732.93 : x
  2. Step 2: Convert to fraction form
    7,828.80/11,722.02 = 5,732.93/x
  3. Step 3: Cross multiply
    7,828.80x = 11,722.02 × 5,732.93
  4. Step 4: Simplify right side
    7,828.80x = 67,201,461.99
  5. Step 5: Solve for x
    x = 67,201,461.99/7,828.80
  6. Step 6: Final answer
    x = 8,583.88

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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.