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Finding the Fourth Proportional to 2,730.47, 4,096.31 and 999.09

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Solution

The fourth proportional to 2,730.47, 4,096.31 and 999.09 is: 1,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.47 : 4,096.31 = 999.09 : x
  2. Step 2: Convert to fraction form
    2,730.47/4,096.31 = 999.09/x
  3. Step 3: Cross multiply
    2,730.47x = 4,096.31 × 999.09
  4. Step 4: Simplify right side
    2,730.47x = 4,092,582.36
  5. Step 5: Solve for x
    x = 4,092,582.36/2,730.47
  6. Step 6: Final answer
    x = 1,498.86

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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.