Home / 2,162.08-2,985.11-1,663.84

Finding the Fourth Proportional to 2,162.08, 2,985.11 and 1,663.84

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Solution

The fourth proportional to 2,162.08, 2,985.11 and 1,663.84 is: 2,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.08 : 2,985.11 = 1,663.84 : x
  2. Step 2: Convert to fraction form
    2,162.08/2,985.11 = 1,663.84/x
  3. Step 3: Cross multiply
    2,162.08x = 2,985.11 × 1,663.84
  4. Step 4: Simplify right side
    2,162.08x = 4,966,745.42
  5. Step 5: Solve for x
    x = 4,966,745.42/2,162.08
  6. Step 6: Final answer
    x = 2,297.21

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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.