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Finding the Fourth Proportional to 11,991.90, 16,553.94 and 7,518.20

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Solution

The fourth proportional to 11,991.90, 16,553.94 and 7,518.20 is: 10,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.90 : 16,553.94 = 7,518.20 : x
  2. Step 2: Convert to fraction form
    11,991.90/16,553.94 = 7,518.20/x
  3. Step 3: Cross multiply
    11,991.90x = 16,553.94 × 7,518.20
  4. Step 4: Simplify right side
    11,991.90x = 124,455,831.71
  5. Step 5: Solve for x
    x = 124,455,831.71/11,991.90
  6. Step 6: Final answer
    x = 10,378.32

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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.