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Finding the Fourth Proportional to 5,890.34, 8,128.62 and 3,533.82

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Solution

The fourth proportional to 5,890.34, 8,128.62 and 3,533.82 is: 4,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.34 : 8,128.62 = 3,533.82 : x
  2. Step 2: Convert to fraction form
    5,890.34/8,128.62 = 3,533.82/x
  3. Step 3: Cross multiply
    5,890.34x = 8,128.62 × 3,533.82
  4. Step 4: Simplify right side
    5,890.34x = 28,725,079.93
  5. Step 5: Solve for x
    x = 28,725,079.93/5,890.34
  6. Step 6: Final answer
    x = 4,876.65

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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.