Home / 1,919.10-2,878.53-513.50

Finding the Fourth Proportional to 1,919.10, 2,878.53 and 513.50

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Solution

The fourth proportional to 1,919.10, 2,878.53 and 513.50 is: 770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.10 : 2,878.53 = 513.50 : x
  2. Step 2: Convert to fraction form
    1,919.10/2,878.53 = 513.50/x
  3. Step 3: Cross multiply
    1,919.10x = 2,878.53 × 513.50
  4. Step 4: Simplify right side
    1,919.10x = 1,478,115.39
  5. Step 5: Solve for x
    x = 1,478,115.39/1,919.10
  6. Step 6: Final answer
    x = 770.21

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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.