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Finding the Fourth Proportional to 2,075.81, 2,864.81 and 1,550.93

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Solution

The fourth proportional to 2,075.81, 2,864.81 and 1,550.93 is: 2,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.81 : 2,864.81 = 1,550.93 : x
  2. Step 2: Convert to fraction form
    2,075.81/2,864.81 = 1,550.93/x
  3. Step 3: Cross multiply
    2,075.81x = 2,864.81 × 1,550.93
  4. Step 4: Simplify right side
    2,075.81x = 4,443,109.33
  5. Step 5: Solve for x
    x = 4,443,109.33/2,075.81
  6. Step 6: Final answer
    x = 2,140.43

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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.