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Finding the Fourth Proportional to 14,457.80, 19,951.91 and 8,489.57

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Solution

The fourth proportional to 14,457.80, 19,951.91 and 8,489.57 is: 11,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.80 : 19,951.91 = 8,489.57 : x
  2. Step 2: Convert to fraction form
    14,457.80/19,951.91 = 8,489.57/x
  3. Step 3: Cross multiply
    14,457.80x = 19,951.91 × 8,489.57
  4. Step 4: Simplify right side
    14,457.80x = 169,383,136.58
  5. Step 5: Solve for x
    x = 169,383,136.58/14,457.80
  6. Step 6: Final answer
    x = 11,715.69

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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.