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Finding the Fourth Proportional to 2,862.54, 3,948.75 and 2,075.22

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Solution

The fourth proportional to 2,862.54, 3,948.75 and 2,075.22 is: 2,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.54 : 3,948.75 = 2,075.22 : x
  2. Step 2: Convert to fraction form
    2,862.54/3,948.75 = 2,075.22/x
  3. Step 3: Cross multiply
    2,862.54x = 3,948.75 × 2,075.22
  4. Step 4: Simplify right side
    2,862.54x = 8,194,524.98
  5. Step 5: Solve for x
    x = 8,194,524.98/2,862.54
  6. Step 6: Final answer
    x = 2,862.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.