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Finding the Fourth Proportional to 7,692.59, 10,615.78 and 4,155.80

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Solution

The fourth proportional to 7,692.59, 10,615.78 and 4,155.80 is: 5,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.59 : 10,615.78 = 4,155.80 : x
  2. Step 2: Convert to fraction form
    7,692.59/10,615.78 = 4,155.80/x
  3. Step 3: Cross multiply
    7,692.59x = 10,615.78 × 4,155.80
  4. Step 4: Simplify right side
    7,692.59x = 44,117,037.75
  5. Step 5: Solve for x
    x = 44,117,037.75/7,692.59
  6. Step 6: Final answer
    x = 5,735.01

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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.