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Finding the Fourth Proportional to 8,461, 12,691.50 and 2,305

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Solution

The fourth proportional to 8,461, 12,691.50 and 2,305 is: 3,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461 : 12,691.50 = 2,305 : x
  2. Step 2: Convert to fraction form
    8,461/12,691.50 = 2,305/x
  3. Step 3: Cross multiply
    8,461x = 12,691.50 × 2,305
  4. Step 4: Simplify right side
    8,461x = 29,253,907.50
  5. Step 5: Solve for x
    x = 29,253,907.50/8,461
  6. Step 6: Final answer
    x = 3,457.50

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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.