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Finding the Fourth Proportional to 1,919.70, 2,875.23 and 1,878.66

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Solution

The fourth proportional to 1,919.70, 2,875.23 and 1,878.66 is: 2,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.70 : 2,875.23 = 1,878.66 : x
  2. Step 2: Convert to fraction form
    1,919.70/2,875.23 = 1,878.66/x
  3. Step 3: Cross multiply
    1,919.70x = 2,875.23 × 1,878.66
  4. Step 4: Simplify right side
    1,919.70x = 5,401,579.59
  5. Step 5: Solve for x
    x = 5,401,579.59/1,919.70
  6. Step 6: Final answer
    x = 2,813.76

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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.