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Finding the Fourth Proportional to 1,611.78, 2,429.74 and 1,504.62

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Solution

The fourth proportional to 1,611.78, 2,429.74 and 1,504.62 is: 2,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.78 : 2,429.74 = 1,504.62 : x
  2. Step 2: Convert to fraction form
    1,611.78/2,429.74 = 1,504.62/x
  3. Step 3: Cross multiply
    1,611.78x = 2,429.74 × 1,504.62
  4. Step 4: Simplify right side
    1,611.78x = 3,655,827.88
  5. Step 5: Solve for x
    x = 3,655,827.88/1,611.78
  6. Step 6: Final answer
    x = 2,268.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.