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Finding the Fourth Proportional to 6,461.84, 9,692.10 and 2,078.12

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Solution

The fourth proportional to 6,461.84, 9,692.10 and 2,078.12 is: 3,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.84 : 9,692.10 = 2,078.12 : x
  2. Step 2: Convert to fraction form
    6,461.84/9,692.10 = 2,078.12/x
  3. Step 3: Cross multiply
    6,461.84x = 9,692.10 × 2,078.12
  4. Step 4: Simplify right side
    6,461.84x = 20,141,346.85
  5. Step 5: Solve for x
    x = 20,141,346.85/6,461.84
  6. Step 6: Final answer
    x = 3,116.97

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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.