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Finding the Fourth Proportional to 2,954.74, 4,079.02 and 2,290.10

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Solution

The fourth proportional to 2,954.74, 4,079.02 and 2,290.10 is: 3,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.74 : 4,079.02 = 2,290.10 : x
  2. Step 2: Convert to fraction form
    2,954.74/4,079.02 = 2,290.10/x
  3. Step 3: Cross multiply
    2,954.74x = 4,079.02 × 2,290.10
  4. Step 4: Simplify right side
    2,954.74x = 9,341,363.70
  5. Step 5: Solve for x
    x = 9,341,363.70/2,954.74
  6. Step 6: Final answer
    x = 3,161.48

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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.