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Finding the Fourth Proportional to 20,922, 28,846.76 and 16,431.76

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Solution

The fourth proportional to 20,922, 28,846.76 and 16,431.76 is: 22,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922 : 28,846.76 = 16,431.76 : x
  2. Step 2: Convert to fraction form
    20,922/28,846.76 = 16,431.76/x
  3. Step 3: Cross multiply
    20,922x = 28,846.76 × 16,431.76
  4. Step 4: Simplify right side
    20,922x = 474,003,037.10
  5. Step 5: Solve for x
    x = 474,003,037.10/20,922
  6. Step 6: Final answer
    x = 22,655.72

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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.