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Finding the Fourth Proportional to 18,671.44, 28,011.51 and 8,284

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Solution

The fourth proportional to 18,671.44, 28,011.51 and 8,284 is: 12,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,671.44 : 28,011.51 = 8,284 : x
  2. Step 2: Convert to fraction form
    18,671.44/28,011.51 = 8,284/x
  3. Step 3: Cross multiply
    18,671.44x = 28,011.51 × 8,284
  4. Step 4: Simplify right side
    18,671.44x = 232,047,348.84
  5. Step 5: Solve for x
    x = 232,047,348.84/18,671.44
  6. Step 6: Final answer
    x = 12,427.93

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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.