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Finding the Fourth Proportional to 14,466.96, 19,968.89 and 8,419.01

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Solution

The fourth proportional to 14,466.96, 19,968.89 and 8,419.01 is: 11,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.96 : 19,968.89 = 8,419.01 : x
  2. Step 2: Convert to fraction form
    14,466.96/19,968.89 = 8,419.01/x
  3. Step 3: Cross multiply
    14,466.96x = 19,968.89 × 8,419.01
  4. Step 4: Simplify right side
    14,466.96x = 168,118,142.66
  5. Step 5: Solve for x
    x = 168,118,142.66/14,466.96
  6. Step 6: Final answer
    x = 11,620.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.