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Finding the Fourth Proportional to 1,990.34, 2,746.83 and 1,283.66

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Solution

The fourth proportional to 1,990.34, 2,746.83 and 1,283.66 is: 1,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.34 : 2,746.83 = 1,283.66 : x
  2. Step 2: Convert to fraction form
    1,990.34/2,746.83 = 1,283.66/x
  3. Step 3: Cross multiply
    1,990.34x = 2,746.83 × 1,283.66
  4. Step 4: Simplify right side
    1,990.34x = 3,525,985.27
  5. Step 5: Solve for x
    x = 3,525,985.27/1,990.34
  6. Step 6: Final answer
    x = 1,771.55

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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.