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Finding the Fourth Proportional to 2,943.03, 4,061.72 and 1,684.20

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Solution

The fourth proportional to 2,943.03, 4,061.72 and 1,684.20 is: 2,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.03 : 4,061.72 = 1,684.20 : x
  2. Step 2: Convert to fraction form
    2,943.03/4,061.72 = 1,684.20/x
  3. Step 3: Cross multiply
    2,943.03x = 4,061.72 × 1,684.20
  4. Step 4: Simplify right side
    2,943.03x = 6,840,740.40
  5. Step 5: Solve for x
    x = 6,840,740.40/2,943.03
  6. Step 6: Final answer
    x = 2,324.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.