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Finding the Fourth Proportional to 18,984, 28,450.98 and 16,507.02

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Solution

The fourth proportional to 18,984, 28,450.98 and 16,507.02 is: 24,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,984 : 28,450.98 = 16,507.02 : x
  2. Step 2: Convert to fraction form
    18,984/28,450.98 = 16,507.02/x
  3. Step 3: Cross multiply
    18,984x = 28,450.98 × 16,507.02
  4. Step 4: Simplify right side
    18,984x = 469,640,895.88
  5. Step 5: Solve for x
    x = 469,640,895.88/18,984
  6. Step 6: Final answer
    x = 24,738.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.