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Finding the Fourth Proportional to 1,235.02, 1,859.83 and 1,074.64

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Solution

The fourth proportional to 1,235.02, 1,859.83 and 1,074.64 is: 1,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.02 : 1,859.83 = 1,074.64 : x
  2. Step 2: Convert to fraction form
    1,235.02/1,859.83 = 1,074.64/x
  3. Step 3: Cross multiply
    1,235.02x = 1,859.83 × 1,074.64
  4. Step 4: Simplify right side
    1,235.02x = 1,998,647.71
  5. Step 5: Solve for x
    x = 1,998,647.71/1,235.02
  6. Step 6: Final answer
    x = 1,618.31

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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.