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Finding the Fourth Proportional to 2,009.90, 3,015.81 and 1,577.90

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Solution

The fourth proportional to 2,009.90, 3,015.81 and 1,577.90 is: 2,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.90 : 3,015.81 = 1,577.90 : x
  2. Step 2: Convert to fraction form
    2,009.90/3,015.81 = 1,577.90/x
  3. Step 3: Cross multiply
    2,009.90x = 3,015.81 × 1,577.90
  4. Step 4: Simplify right side
    2,009.90x = 4,758,646.60
  5. Step 5: Solve for x
    x = 4,758,646.60/2,009.90
  6. Step 6: Final answer
    x = 2,367.60

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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.