Home / 3,426-4,726.80-2,099.04

Finding the Fourth Proportional to 3,426, 4,726.80 and 2,099.04

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Solution

The fourth proportional to 3,426, 4,726.80 and 2,099.04 is: 2,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426 : 4,726.80 = 2,099.04 : x
  2. Step 2: Convert to fraction form
    3,426/4,726.80 = 2,099.04/x
  3. Step 3: Cross multiply
    3,426x = 4,726.80 × 2,099.04
  4. Step 4: Simplify right side
    3,426x = 9,921,742.27
  5. Step 5: Solve for x
    x = 9,921,742.27/3,426
  6. Step 6: Final answer
    x = 2,896.01

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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.