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Finding the Fourth Proportional to 5,692.89, 7,856.16 and 3,208.89

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Solution

The fourth proportional to 5,692.89, 7,856.16 and 3,208.89 is: 4,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.89 : 7,856.16 = 3,208.89 : x
  2. Step 2: Convert to fraction form
    5,692.89/7,856.16 = 3,208.89/x
  3. Step 3: Cross multiply
    5,692.89x = 7,856.16 × 3,208.89
  4. Step 4: Simplify right side
    5,692.89x = 25,209,553.26
  5. Step 5: Solve for x
    x = 25,209,553.26/5,692.89
  6. Step 6: Final answer
    x = 4,428.25

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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.