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Finding the Fourth Proportional to 8,461, 12,692.04 and 2,305

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Solution

The fourth proportional to 8,461, 12,692.04 and 2,305 is: 3,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461 : 12,692.04 = 2,305 : x
  2. Step 2: Convert to fraction form
    8,461/12,692.04 = 2,305/x
  3. Step 3: Cross multiply
    8,461x = 12,692.04 × 2,305
  4. Step 4: Simplify right side
    8,461x = 29,255,152.20
  5. Step 5: Solve for x
    x = 29,255,152.20/8,461
  6. Step 6: Final answer
    x = 3,457.65

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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.