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Finding the Fourth Proportional to 3,992.36, 5,988.54 and 1,855

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Solution

The fourth proportional to 3,992.36, 5,988.54 and 1,855 is: 2,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.36 : 5,988.54 = 1,855 : x
  2. Step 2: Convert to fraction form
    3,992.36/5,988.54 = 1,855/x
  3. Step 3: Cross multiply
    3,992.36x = 5,988.54 × 1,855
  4. Step 4: Simplify right side
    3,992.36x = 11,108,741.70
  5. Step 5: Solve for x
    x = 11,108,741.70/3,992.36
  6. Step 6: Final answer
    x = 2,782.50

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1.5x scale

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.