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Finding the Fourth Proportional to 2,021.51, 3,029.69 and 909.74

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Solution

The fourth proportional to 2,021.51, 3,029.69 and 909.74 is: 1,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.51 : 3,029.69 = 909.74 : x
  2. Step 2: Convert to fraction form
    2,021.51/3,029.69 = 909.74/x
  3. Step 3: Cross multiply
    2,021.51x = 3,029.69 × 909.74
  4. Step 4: Simplify right side
    2,021.51x = 2,756,217.31
  5. Step 5: Solve for x
    x = 2,756,217.31/2,021.51
  6. Step 6: Final answer
    x = 1,363.44

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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.