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Finding the Fourth Proportional to 1,235.01, 1,859.82 and 1,074.63

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Solution

The fourth proportional to 1,235.01, 1,859.82 and 1,074.63 is: 1,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.01 : 1,859.82 = 1,074.63 : x
  2. Step 2: Convert to fraction form
    1,235.01/1,859.82 = 1,074.63/x
  3. Step 3: Cross multiply
    1,235.01x = 1,859.82 × 1,074.63
  4. Step 4: Simplify right side
    1,235.01x = 1,998,618.37
  5. Step 5: Solve for x
    x = 1,998,618.37/1,235.01
  6. Step 6: Final answer
    x = 1,618.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.