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Finding the Fourth Proportional to 2,020.34, 3,030.13 and 539.57

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Solution

The fourth proportional to 2,020.34, 3,030.13 and 539.57 is: 809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.34 : 3,030.13 = 539.57 : x
  2. Step 2: Convert to fraction form
    2,020.34/3,030.13 = 539.57/x
  3. Step 3: Cross multiply
    2,020.34x = 3,030.13 × 539.57
  4. Step 4: Simplify right side
    2,020.34x = 1,634,964.55
  5. Step 5: Solve for x
    x = 1,634,964.55/2,020.34
  6. Step 6: Final answer
    x = 809.25

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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.