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Finding the Fourth Proportional to 16,644.21, 22,947.12 and 12,820.14

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Solution

The fourth proportional to 16,644.21, 22,947.12 and 12,820.14 is: 17,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.21 : 22,947.12 = 12,820.14 : x
  2. Step 2: Convert to fraction form
    16,644.21/22,947.12 = 12,820.14/x
  3. Step 3: Cross multiply
    16,644.21x = 22,947.12 × 12,820.14
  4. Step 4: Simplify right side
    16,644.21x = 294,185,291.00
  5. Step 5: Solve for x
    x = 294,185,291.00/16,644.21
  6. Step 6: Final answer
    x = 17,674.93

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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.