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Finding the Fourth Proportional to 2,051.73, 3,075.30 and 817.43

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Solution

The fourth proportional to 2,051.73, 3,075.30 and 817.43 is: 1,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.73 : 3,075.30 = 817.43 : x
  2. Step 2: Convert to fraction form
    2,051.73/3,075.30 = 817.43/x
  3. Step 3: Cross multiply
    2,051.73x = 3,075.30 × 817.43
  4. Step 4: Simplify right side
    2,051.73x = 2,513,827.10
  5. Step 5: Solve for x
    x = 2,513,827.10/2,051.73
  6. Step 6: Final answer
    x = 1,225.22

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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.