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Finding the Fourth Proportional to 2,742.40, 4,113.40 and 893.44

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Solution

The fourth proportional to 2,742.40, 4,113.40 and 893.44 is: 1,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.40 : 4,113.40 = 893.44 : x
  2. Step 2: Convert to fraction form
    2,742.40/4,113.40 = 893.44/x
  3. Step 3: Cross multiply
    2,742.40x = 4,113.40 × 893.44
  4. Step 4: Simplify right side
    2,742.40x = 3,675,076.10
  5. Step 5: Solve for x
    x = 3,675,076.10/2,742.40
  6. Step 6: Final answer
    x = 1,340.09

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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.