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Finding the Fourth Proportional to 1,999.71, 2,763.59 and 1,708.11

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Solution

The fourth proportional to 1,999.71, 2,763.59 and 1,708.11 is: 2,360.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.71 : 2,763.59 = 1,708.11 : x
  2. Step 2: Convert to fraction form
    1,999.71/2,763.59 = 1,708.11/x
  3. Step 3: Cross multiply
    1,999.71x = 2,763.59 × 1,708.11
  4. Step 4: Simplify right side
    1,999.71x = 4,720,507.17
  5. Step 5: Solve for x
    x = 4,720,507.17/1,999.71
  6. Step 6: Final answer
    x = 2,360.60

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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.