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Finding the Fourth Proportional to 2,742.96, 4,113.80 and 893.60

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Solution

The fourth proportional to 2,742.96, 4,113.80 and 893.60 is: 1,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.96 : 4,113.80 = 893.60 : x
  2. Step 2: Convert to fraction form
    2,742.96/4,113.80 = 893.60/x
  3. Step 3: Cross multiply
    2,742.96x = 4,113.80 × 893.60
  4. Step 4: Simplify right side
    2,742.96x = 3,676,091.68
  5. Step 5: Solve for x
    x = 3,676,091.68/2,742.96
  6. Step 6: Final answer
    x = 1,340.19

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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.