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Finding the Fourth Proportional to 2,019.51, 3,029.67 and 720.94

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Solution

The fourth proportional to 2,019.51, 3,029.67 and 720.94 is: 1,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.51 : 3,029.67 = 720.94 : x
  2. Step 2: Convert to fraction form
    2,019.51/3,029.67 = 720.94/x
  3. Step 3: Cross multiply
    2,019.51x = 3,029.67 × 720.94
  4. Step 4: Simplify right side
    2,019.51x = 2,184,210.29
  5. Step 5: Solve for x
    x = 2,184,210.29/2,019.51
  6. Step 6: Final answer
    x = 1,081.55

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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.