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Finding the Fourth Proportional to 5,490, 8,234.52 and 2,369.88

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Solution

The fourth proportional to 5,490, 8,234.52 and 2,369.88 is: 3,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490 : 8,234.52 = 2,369.88 : x
  2. Step 2: Convert to fraction form
    5,490/8,234.52 = 2,369.88/x
  3. Step 3: Cross multiply
    5,490x = 8,234.52 × 2,369.88
  4. Step 4: Simplify right side
    5,490x = 19,514,824.26
  5. Step 5: Solve for x
    x = 19,514,824.26/5,490
  6. Step 6: Final answer
    x = 3,554.61

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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.