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Finding the Fourth Proportional to 2,114.85, 2,917.80 and 1,369.02

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Solution

The fourth proportional to 2,114.85, 2,917.80 and 1,369.02 is: 1,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.85 : 2,917.80 = 1,369.02 : x
  2. Step 2: Convert to fraction form
    2,114.85/2,917.80 = 1,369.02/x
  3. Step 3: Cross multiply
    2,114.85x = 2,917.80 × 1,369.02
  4. Step 4: Simplify right side
    2,114.85x = 3,994,526.56
  5. Step 5: Solve for x
    x = 3,994,526.56/2,114.85
  6. Step 6: Final answer
    x = 1,888.80

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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.