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Finding the Fourth Proportional to 14,419.96, 21,629.96 and 5,653.76

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Solution

The fourth proportional to 14,419.96, 21,629.96 and 5,653.76 is: 8,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.96 : 21,629.96 = 5,653.76 : x
  2. Step 2: Convert to fraction form
    14,419.96/21,629.96 = 5,653.76/x
  3. Step 3: Cross multiply
    14,419.96x = 21,629.96 × 5,653.76
  4. Step 4: Simplify right side
    14,419.96x = 122,290,602.65
  5. Step 5: Solve for x
    x = 122,290,602.65/14,419.96
  6. Step 6: Final answer
    x = 8,480.65

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1.5x scale

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.