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Finding the Fourth Proportional to 2,019.65, 3,030.48 and 721.22

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Solution

The fourth proportional to 2,019.65, 3,030.48 and 721.22 is: 1,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.65 : 3,030.48 = 721.22 : x
  2. Step 2: Convert to fraction form
    2,019.65/3,030.48 = 721.22/x
  3. Step 3: Cross multiply
    2,019.65x = 3,030.48 × 721.22
  4. Step 4: Simplify right side
    2,019.65x = 2,185,627.63
  5. Step 5: Solve for x
    x = 2,185,627.63/2,019.65
  6. Step 6: Final answer
    x = 1,082.18

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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.