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Finding the Fourth Proportional to 2,114.88, 3,173 and 654.04

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Solution

The fourth proportional to 2,114.88, 3,173 and 654.04 is: 981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.88 : 3,173 = 654.04 : x
  2. Step 2: Convert to fraction form
    2,114.88/3,173 = 654.04/x
  3. Step 3: Cross multiply
    2,114.88x = 3,173 × 654.04
  4. Step 4: Simplify right side
    2,114.88x = 2,075,268.92
  5. Step 5: Solve for x
    x = 2,075,268.92/2,114.88
  6. Step 6: Final answer
    x = 981.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.