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Finding the Fourth Proportional to 2,742.35, 4,113.86 and 893.63

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Solution

The fourth proportional to 2,742.35, 4,113.86 and 893.63 is: 1,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.35 : 4,113.86 = 893.63 : x
  2. Step 2: Convert to fraction form
    2,742.35/4,113.86 = 893.63/x
  3. Step 3: Cross multiply
    2,742.35x = 4,113.86 × 893.63
  4. Step 4: Simplify right side
    2,742.35x = 3,676,274.53
  5. Step 5: Solve for x
    x = 3,676,274.53/2,742.35
  6. Step 6: Final answer
    x = 1,340.56

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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.