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Finding the Fourth Proportional to 2,868.09, 4,301.93 and 788.22

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Solution

The fourth proportional to 2,868.09, 4,301.93 and 788.22 is: 1,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.09 : 4,301.93 = 788.22 : x
  2. Step 2: Convert to fraction form
    2,868.09/4,301.93 = 788.22/x
  3. Step 3: Cross multiply
    2,868.09x = 4,301.93 × 788.22
  4. Step 4: Simplify right side
    2,868.09x = 3,390,863.32
  5. Step 5: Solve for x
    x = 3,390,863.32/2,868.09
  6. Step 6: Final answer
    x = 1,182.27

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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.