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Finding the Fourth Proportional to 11,602.82, 16,002 and 7,821.02

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Solution

The fourth proportional to 11,602.82, 16,002 and 7,821.02 is: 10,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.82 : 16,002 = 7,821.02 : x
  2. Step 2: Convert to fraction form
    11,602.82/16,002 = 7,821.02/x
  3. Step 3: Cross multiply
    11,602.82x = 16,002 × 7,821.02
  4. Step 4: Simplify right side
    11,602.82x = 125,152,002.05
  5. Step 5: Solve for x
    x = 125,152,002.05/11,602.82
  6. Step 6: Final answer
    x = 10,786.34

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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.