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Finding the Fourth Proportional to 5,890.26, 8,128.91 and 3,897.33

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Solution

The fourth proportional to 5,890.26, 8,128.91 and 3,897.33 is: 5,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.26 : 8,128.91 = 3,897.33 : x
  2. Step 2: Convert to fraction form
    5,890.26/8,128.91 = 3,897.33/x
  3. Step 3: Cross multiply
    5,890.26x = 8,128.91 × 3,897.33
  4. Step 4: Simplify right side
    5,890.26x = 31,681,044.81
  5. Step 5: Solve for x
    x = 31,681,044.81/5,890.26
  6. Step 6: Final answer
    x = 5,378.55

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1.5x scale

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.