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Finding the Fourth Proportional to 1,880.14, 2,820.77 and 893.71

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Solution

The fourth proportional to 1,880.14, 2,820.77 and 893.71 is: 1,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.14 : 2,820.77 = 893.71 : x
  2. Step 2: Convert to fraction form
    1,880.14/2,820.77 = 893.71/x
  3. Step 3: Cross multiply
    1,880.14x = 2,820.77 × 893.71
  4. Step 4: Simplify right side
    1,880.14x = 2,520,949.86
  5. Step 5: Solve for x
    x = 2,520,949.86/1,880.14
  6. Step 6: Final answer
    x = 1,340.83

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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.