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Finding the Fourth Proportional to 21,745.84, 30,009.16 and 11,809.84

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Solution

The fourth proportional to 21,745.84, 30,009.16 and 11,809.84 is: 16,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.84 : 30,009.16 = 11,809.84 : x
  2. Step 2: Convert to fraction form
    21,745.84/30,009.16 = 11,809.84/x
  3. Step 3: Cross multiply
    21,745.84x = 30,009.16 × 11,809.84
  4. Step 4: Simplify right side
    21,745.84x = 354,403,378.13
  5. Step 5: Solve for x
    x = 354,403,378.13/21,745.84
  6. Step 6: Final answer
    x = 16,297.53

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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.