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Finding the Fourth Proportional to 14,457.93, 19,958.43 and 8,489.97

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Solution

The fourth proportional to 14,457.93, 19,958.43 and 8,489.97 is: 11,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.93 : 19,958.43 = 8,489.97 : x
  2. Step 2: Convert to fraction form
    14,457.93/19,958.43 = 8,489.97/x
  3. Step 3: Cross multiply
    14,457.93x = 19,958.43 × 8,489.97
  4. Step 4: Simplify right side
    14,457.93x = 169,446,471.95
  5. Step 5: Solve for x
    x = 169,446,471.95/14,457.93
  6. Step 6: Final answer
    x = 11,719.97

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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.