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Finding the Fourth Proportional to 1,925, 2,883.42 and 1,857.64

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Solution

The fourth proportional to 1,925, 2,883.42 and 1,857.64 is: 2,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925 : 2,883.42 = 1,857.64 : x
  2. Step 2: Convert to fraction form
    1,925/2,883.42 = 1,857.64/x
  3. Step 3: Cross multiply
    1,925x = 2,883.42 × 1,857.64
  4. Step 4: Simplify right side
    1,925x = 5,356,356.33
  5. Step 5: Solve for x
    x = 5,356,356.33/1,925
  6. Step 6: Final answer
    x = 2,782.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.