Home / 1,583.07-2,181.73-1,051

Finding the Fourth Proportional to 1,583.07, 2,181.73 and 1,051

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Solution

The fourth proportional to 1,583.07, 2,181.73 and 1,051 is: 1,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.07 : 2,181.73 = 1,051 : x
  2. Step 2: Convert to fraction form
    1,583.07/2,181.73 = 1,051/x
  3. Step 3: Cross multiply
    1,583.07x = 2,181.73 × 1,051
  4. Step 4: Simplify right side
    1,583.07x = 2,292,998.23
  5. Step 5: Solve for x
    x = 2,292,998.23/1,583.07
  6. Step 6: Final answer
    x = 1,448.45

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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.