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Finding the Fourth Proportional to 2,869.03, 4,303.29 and 788.97

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Solution

The fourth proportional to 2,869.03, 4,303.29 and 788.97 is: 1,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.03 : 4,303.29 = 788.97 : x
  2. Step 2: Convert to fraction form
    2,869.03/4,303.29 = 788.97/x
  3. Step 3: Cross multiply
    2,869.03x = 4,303.29 × 788.97
  4. Step 4: Simplify right side
    2,869.03x = 3,395,166.71
  5. Step 5: Solve for x
    x = 3,395,166.71/2,869.03
  6. Step 6: Final answer
    x = 1,183.38

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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.