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Finding the Fourth Proportional to 12,448.43, 18,653.19 and 7,821.71

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Solution

The fourth proportional to 12,448.43, 18,653.19 and 7,821.71 is: 11,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.43 : 18,653.19 = 7,821.71 : x
  2. Step 2: Convert to fraction form
    12,448.43/18,653.19 = 7,821.71/x
  3. Step 3: Cross multiply
    12,448.43x = 18,653.19 × 7,821.71
  4. Step 4: Simplify right side
    12,448.43x = 145,899,790.11
  5. Step 5: Solve for x
    x = 145,899,790.11/12,448.43
  6. Step 6: Final answer
    x = 11,720.34

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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.