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Finding the Fourth Proportional to 3,919.51, 5,873.12 and 2,065.01

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Solution

The fourth proportional to 3,919.51, 5,873.12 and 2,065.01 is: 3,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.51 : 5,873.12 = 2,065.01 : x
  2. Step 2: Convert to fraction form
    3,919.51/5,873.12 = 2,065.01/x
  3. Step 3: Cross multiply
    3,919.51x = 5,873.12 × 2,065.01
  4. Step 4: Simplify right side
    3,919.51x = 12,128,030.75
  5. Step 5: Solve for x
    x = 12,128,030.75/3,919.51
  6. Step 6: Final answer
    x = 3,094.27

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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.