Home / 2,431.96-3,356.85-1,646

Finding the Fourth Proportional to 2,431.96, 3,356.85 and 1,646

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Solution

The fourth proportional to 2,431.96, 3,356.85 and 1,646 is: 2,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.96 : 3,356.85 = 1,646 : x
  2. Step 2: Convert to fraction form
    2,431.96/3,356.85 = 1,646/x
  3. Step 3: Cross multiply
    2,431.96x = 3,356.85 × 1,646
  4. Step 4: Simplify right side
    2,431.96x = 5,525,375.10
  5. Step 5: Solve for x
    x = 5,525,375.10/2,431.96
  6. Step 6: Final answer
    x = 2,271.98

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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.