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Finding the Fourth Proportional to 2,020, 3,030.04 and 721.44

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Solution

The fourth proportional to 2,020, 3,030.04 and 721.44 is: 1,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020 : 3,030.04 = 721.44 : x
  2. Step 2: Convert to fraction form
    2,020/3,030.04 = 721.44/x
  3. Step 3: Cross multiply
    2,020x = 3,030.04 × 721.44
  4. Step 4: Simplify right side
    2,020x = 2,185,992.06
  5. Step 5: Solve for x
    x = 2,185,992.06/2,020
  6. Step 6: Final answer
    x = 1,082.17

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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.