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Finding the Fourth Proportional to 2,075.81, 2,865.11 and 1,865.61

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Solution

The fourth proportional to 2,075.81, 2,865.11 and 1,865.61 is: 2,574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.81 : 2,865.11 = 1,865.61 : x
  2. Step 2: Convert to fraction form
    2,075.81/2,865.11 = 1,865.61/x
  3. Step 3: Cross multiply
    2,075.81x = 2,865.11 × 1,865.61
  4. Step 4: Simplify right side
    2,075.81x = 5,345,168.54
  5. Step 5: Solve for x
    x = 5,345,168.54/2,075.81
  6. Step 6: Final answer
    x = 2,574.99

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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.