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Finding the Fourth Proportional to 1,773.78, 2,448.01 and 1,075.14

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Solution

The fourth proportional to 1,773.78, 2,448.01 and 1,075.14 is: 1,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.78 : 2,448.01 = 1,075.14 : x
  2. Step 2: Convert to fraction form
    1,773.78/2,448.01 = 1,075.14/x
  3. Step 3: Cross multiply
    1,773.78x = 2,448.01 × 1,075.14
  4. Step 4: Simplify right side
    1,773.78x = 2,631,953.47
  5. Step 5: Solve for x
    x = 2,631,953.47/1,773.78
  6. Step 6: Final answer
    x = 1,483.81

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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.