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Finding the Fourth Proportional to 2,919.40, 4,020.78 and 2,865.40

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Solution

The fourth proportional to 2,919.40, 4,020.78 and 2,865.40 is: 3,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.40 : 4,020.78 = 2,865.40 : x
  2. Step 2: Convert to fraction form
    2,919.40/4,020.78 = 2,865.40/x
  3. Step 3: Cross multiply
    2,919.40x = 4,020.78 × 2,865.40
  4. Step 4: Simplify right side
    2,919.40x = 11,521,143.01
  5. Step 5: Solve for x
    x = 11,521,143.01/2,919.40
  6. Step 6: Final answer
    x = 3,946.41

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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.