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Finding the Fourth Proportional to 8,461.99, 12,693.84 and 2,914.60

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Solution

The fourth proportional to 8,461.99, 12,693.84 and 2,914.60 is: 4,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.99 : 12,693.84 = 2,914.60 : x
  2. Step 2: Convert to fraction form
    8,461.99/12,693.84 = 2,914.60/x
  3. Step 3: Cross multiply
    8,461.99x = 12,693.84 × 2,914.60
  4. Step 4: Simplify right side
    8,461.99x = 36,997,466.06
  5. Step 5: Solve for x
    x = 36,997,466.06/8,461.99
  6. Step 6: Final answer
    x = 4,372.19

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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.