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Finding the Fourth Proportional to 2,862.10, 3,940.92 and 2,155

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Solution

The fourth proportional to 2,862.10, 3,940.92 and 2,155 is: 2,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.10 : 3,940.92 = 2,155 : x
  2. Step 2: Convert to fraction form
    2,862.10/3,940.92 = 2,155/x
  3. Step 3: Cross multiply
    2,862.10x = 3,940.92 × 2,155
  4. Step 4: Simplify right side
    2,862.10x = 8,492,682.60
  5. Step 5: Solve for x
    x = 8,492,682.60/2,862.10
  6. Step 6: Final answer
    x = 2,967.29

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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.