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Finding the Fourth Proportional to 4,009.50, 6,014.93 and 1,789.11

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Solution

The fourth proportional to 4,009.50, 6,014.93 and 1,789.11 is: 2,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.50 : 6,014.93 = 1,789.11 : x
  2. Step 2: Convert to fraction form
    4,009.50/6,014.93 = 1,789.11/x
  3. Step 3: Cross multiply
    4,009.50x = 6,014.93 × 1,789.11
  4. Step 4: Simplify right side
    4,009.50x = 10,761,362.47
  5. Step 5: Solve for x
    x = 10,761,362.47/4,009.50
  6. Step 6: Final answer
    x = 2,683.97

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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.