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Finding the Fourth Proportional to 9,692.10, 14,549.10 and 3,852.84

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Solution

The fourth proportional to 9,692.10, 14,549.10 and 3,852.84 is: 5,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.10 : 14,549.10 = 3,852.84 : x
  2. Step 2: Convert to fraction form
    9,692.10/14,549.10 = 3,852.84/x
  3. Step 3: Cross multiply
    9,692.10x = 14,549.10 × 3,852.84
  4. Step 4: Simplify right side
    9,692.10x = 56,055,354.44
  5. Step 5: Solve for x
    x = 56,055,354.44/9,692.10
  6. Step 6: Final answer
    x = 5,783.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.