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Finding the Fourth Proportional to 5,808.35, 8,009.39 and 4,128

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Solution

The fourth proportional to 5,808.35, 8,009.39 and 4,128 is: 5,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.35 : 8,009.39 = 4,128 : x
  2. Step 2: Convert to fraction form
    5,808.35/8,009.39 = 4,128/x
  3. Step 3: Cross multiply
    5,808.35x = 8,009.39 × 4,128
  4. Step 4: Simplify right side
    5,808.35x = 33,062,772.24
  5. Step 5: Solve for x
    x = 33,062,772.24/5,808.35
  6. Step 6: Final answer
    x = 5,692.29

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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.