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Finding the Fourth Proportional to 2,858.78, 3,946 and 1,664.12

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Solution

The fourth proportional to 2,858.78, 3,946 and 1,664.12 is: 2,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.78 : 3,946 = 1,664.12 : x
  2. Step 2: Convert to fraction form
    2,858.78/3,946 = 1,664.12/x
  3. Step 3: Cross multiply
    2,858.78x = 3,946 × 1,664.12
  4. Step 4: Simplify right side
    2,858.78x = 6,566,617.52
  5. Step 5: Solve for x
    x = 6,566,617.52/2,858.78
  6. Step 6: Final answer
    x = 2,297.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.