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Finding the Fourth Proportional to 2,014.69, 3,021.75 and 627.70

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Solution

The fourth proportional to 2,014.69, 3,021.75 and 627.70 is: 941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.69 : 3,021.75 = 627.70 : x
  2. Step 2: Convert to fraction form
    2,014.69/3,021.75 = 627.70/x
  3. Step 3: Cross multiply
    2,014.69x = 3,021.75 × 627.70
  4. Step 4: Simplify right side
    2,014.69x = 1,896,752.48
  5. Step 5: Solve for x
    x = 1,896,752.48/2,014.69
  6. Step 6: Final answer
    x = 941.46

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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.