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Finding the Fourth Proportional to 14,457.40, 19,948.74 and 8,169.64

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Solution

The fourth proportional to 14,457.40, 19,948.74 and 8,169.64 is: 11,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.40 : 19,948.74 = 8,169.64 : x
  2. Step 2: Convert to fraction form
    14,457.40/19,948.74 = 8,169.64/x
  3. Step 3: Cross multiply
    14,457.40x = 19,948.74 × 8,169.64
  4. Step 4: Simplify right side
    14,457.40x = 162,974,024.25
  5. Step 5: Solve for x
    x = 162,974,024.25/14,457.40
  6. Step 6: Final answer
    x = 11,272.71

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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.