Home / 6,838-9,434.28-4,184.08

Finding the Fourth Proportional to 6,838, 9,434.28 and 4,184.08

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Solution

The fourth proportional to 6,838, 9,434.28 and 4,184.08 is: 5,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838 : 9,434.28 = 4,184.08 : x
  2. Step 2: Convert to fraction form
    6,838/9,434.28 = 4,184.08/x
  3. Step 3: Cross multiply
    6,838x = 9,434.28 × 4,184.08
  4. Step 4: Simplify right side
    6,838x = 39,473,782.26
  5. Step 5: Solve for x
    x = 39,473,782.26/6,838
  6. Step 6: Final answer
    x = 5,772.71

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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.