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Finding the Fourth Proportional to 1,919.36, 2,879.56 and 686.90

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Solution

The fourth proportional to 1,919.36, 2,879.56 and 686.90 is: 1,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.36 : 2,879.56 = 686.90 : x
  2. Step 2: Convert to fraction form
    1,919.36/2,879.56 = 686.90/x
  3. Step 3: Cross multiply
    1,919.36x = 2,879.56 × 686.90
  4. Step 4: Simplify right side
    1,919.36x = 1,977,969.76
  5. Step 5: Solve for x
    x = 1,977,969.76/1,919.36
  6. Step 6: Final answer
    x = 1,030.54

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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.