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Finding the Fourth Proportional to 2,888, 3,985.44 and 1,646

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Solution

The fourth proportional to 2,888, 3,985.44 and 1,646 is: 2,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888 : 3,985.44 = 1,646 : x
  2. Step 2: Convert to fraction form
    2,888/3,985.44 = 1,646/x
  3. Step 3: Cross multiply
    2,888x = 3,985.44 × 1,646
  4. Step 4: Simplify right side
    2,888x = 6,560,034.24
  5. Step 5: Solve for x
    x = 6,560,034.24/2,888
  6. Step 6: Final answer
    x = 2,271.48

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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.