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Finding the Fourth Proportional to 1,902.25, 2,625.11 and 1,074.25

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Solution

The fourth proportional to 1,902.25, 2,625.11 and 1,074.25 is: 1,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.25 : 2,625.11 = 1,074.25 : x
  2. Step 2: Convert to fraction form
    1,902.25/2,625.11 = 1,074.25/x
  3. Step 3: Cross multiply
    1,902.25x = 2,625.11 × 1,074.25
  4. Step 4: Simplify right side
    1,902.25x = 2,820,024.42
  5. Step 5: Solve for x
    x = 2,820,024.42/1,902.25
  6. Step 6: Final answer
    x = 1,482.47

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1.5x scale

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.