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Finding the Fourth Proportional to 11,920.12, 16,448.04 and 7,676.93

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Solution

The fourth proportional to 11,920.12, 16,448.04 and 7,676.93 is: 10,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.12 : 16,448.04 = 7,676.93 : x
  2. Step 2: Convert to fraction form
    11,920.12/16,448.04 = 7,676.93/x
  3. Step 3: Cross multiply
    11,920.12x = 16,448.04 × 7,676.93
  4. Step 4: Simplify right side
    11,920.12x = 126,270,492.84
  5. Step 5: Solve for x
    x = 126,270,492.84/11,920.12
  6. Step 6: Final answer
    x = 10,593.06

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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.