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Finding the Fourth Proportional to 5,225.65, 7,838.17 and 3,821.50

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Solution

The fourth proportional to 5,225.65, 7,838.17 and 3,821.50 is: 5,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.65 : 7,838.17 = 3,821.50 : x
  2. Step 2: Convert to fraction form
    5,225.65/7,838.17 = 3,821.50/x
  3. Step 3: Cross multiply
    5,225.65x = 7,838.17 × 3,821.50
  4. Step 4: Simplify right side
    5,225.65x = 29,953,537.51
  5. Step 5: Solve for x
    x = 29,953,537.51/5,225.65
  6. Step 6: Final answer
    x = 5,732.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.