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Finding the Fourth Proportional to 1,999.55, 2,756.41 and 1,291.34

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Solution

The fourth proportional to 1,999.55, 2,756.41 and 1,291.34 is: 1,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.55 : 2,756.41 = 1,291.34 : x
  2. Step 2: Convert to fraction form
    1,999.55/2,756.41 = 1,291.34/x
  3. Step 3: Cross multiply
    1,999.55x = 2,756.41 × 1,291.34
  4. Step 4: Simplify right side
    1,999.55x = 3,559,462.49
  5. Step 5: Solve for x
    x = 3,559,462.49/1,999.55
  6. Step 6: Final answer
    x = 1,780.13

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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.