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Finding the Fourth Proportional to 7,692.89, 10,616.19 and 4,156.10

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Solution

The fourth proportional to 7,692.89, 10,616.19 and 4,156.10 is: 5,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.89 : 10,616.19 = 4,156.10 : x
  2. Step 2: Convert to fraction form
    7,692.89/10,616.19 = 4,156.10/x
  3. Step 3: Cross multiply
    7,692.89x = 10,616.19 × 4,156.10
  4. Step 4: Simplify right side
    7,692.89x = 44,121,947.26
  5. Step 5: Solve for x
    x = 44,121,947.26/7,692.89
  6. Step 6: Final answer
    x = 5,735.42

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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.