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Finding the Fourth Proportional to 3,057.75, 4,587.64 and 1,302.68

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Solution

The fourth proportional to 3,057.75, 4,587.64 and 1,302.68 is: 1,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.75 : 4,587.64 = 1,302.68 : x
  2. Step 2: Convert to fraction form
    3,057.75/4,587.64 = 1,302.68/x
  3. Step 3: Cross multiply
    3,057.75x = 4,587.64 × 1,302.68
  4. Step 4: Simplify right side
    3,057.75x = 5,976,235.09
  5. Step 5: Solve for x
    x = 5,976,235.09/3,057.75
  6. Step 6: Final answer
    x = 1,954.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.