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Finding the Fourth Proportional to 1,838.31, 2,536.80 and 999.00

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Solution

The fourth proportional to 1,838.31, 2,536.80 and 999.00 is: 1,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.31 : 2,536.80 = 999.00 : x
  2. Step 2: Convert to fraction form
    1,838.31/2,536.80 = 999.00/x
  3. Step 3: Cross multiply
    1,838.31x = 2,536.80 × 999.00
  4. Step 4: Simplify right side
    1,838.31x = 2,534,268.97
  5. Step 5: Solve for x
    x = 2,534,268.97/1,838.31
  6. Step 6: Final answer
    x = 1,378.59

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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.