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Finding the Fourth Proportional to 11,803.94, 16,278.81 and 9,821.06

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Solution

The fourth proportional to 11,803.94, 16,278.81 and 9,821.06 is: 13,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.94 : 16,278.81 = 9,821.06 : x
  2. Step 2: Convert to fraction form
    11,803.94/16,278.81 = 9,821.06/x
  3. Step 3: Cross multiply
    11,803.94x = 16,278.81 × 9,821.06
  4. Step 4: Simplify right side
    11,803.94x = 159,875,169.74
  5. Step 5: Solve for x
    x = 159,875,169.74/11,803.94
  6. Step 6: Final answer
    x = 13,544.22

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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.