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Finding the Fourth Proportional to 2,869.36, 4,303.47 and 788.83

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Solution

The fourth proportional to 2,869.36, 4,303.47 and 788.83 is: 1,183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.36 : 4,303.47 = 788.83 : x
  2. Step 2: Convert to fraction form
    2,869.36/4,303.47 = 788.83/x
  3. Step 3: Cross multiply
    2,869.36x = 4,303.47 × 788.83
  4. Step 4: Simplify right side
    2,869.36x = 3,394,698.44
  5. Step 5: Solve for x
    x = 3,394,698.44/2,869.36
  6. Step 6: Final answer
    x = 1,183.09

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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.