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Finding the Fourth Proportional to 2,021.10, 3,030.84 and 721.86

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Solution

The fourth proportional to 2,021.10, 3,030.84 and 721.86 is: 1,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.10 : 3,030.84 = 721.86 : x
  2. Step 2: Convert to fraction form
    2,021.10/3,030.84 = 721.86/x
  3. Step 3: Cross multiply
    2,021.10x = 3,030.84 × 721.86
  4. Step 4: Simplify right side
    2,021.10x = 2,187,842.16
  5. Step 5: Solve for x
    x = 2,187,842.16/2,021.10
  6. Step 6: Final answer
    x = 1,082.50

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1.5x scale

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.