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Finding the Fourth Proportional to 5,890.41, 8,129.16 and 3,897.54

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Solution

The fourth proportional to 5,890.41, 8,129.16 and 3,897.54 is: 5,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.41 : 8,129.16 = 3,897.54 : x
  2. Step 2: Convert to fraction form
    5,890.41/8,129.16 = 3,897.54/x
  3. Step 3: Cross multiply
    5,890.41x = 8,129.16 × 3,897.54
  4. Step 4: Simplify right side
    5,890.41x = 31,683,726.27
  5. Step 5: Solve for x
    x = 31,683,726.27/5,890.41
  6. Step 6: Final answer
    x = 5,378.87

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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.