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Finding the Fourth Proportional to 1,888.24, 2,605.88 and 1,180.52

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Solution

The fourth proportional to 1,888.24, 2,605.88 and 1,180.52 is: 1,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.24 : 2,605.88 = 1,180.52 : x
  2. Step 2: Convert to fraction form
    1,888.24/2,605.88 = 1,180.52/x
  3. Step 3: Cross multiply
    1,888.24x = 2,605.88 × 1,180.52
  4. Step 4: Simplify right side
    1,888.24x = 3,076,287.56
  5. Step 5: Solve for x
    x = 3,076,287.56/1,888.24
  6. Step 6: Final answer
    x = 1,629.19

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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.