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Finding the Fourth Proportional to 28,380, 42,568.41 and 8,657

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Solution

The fourth proportional to 28,380, 42,568.41 and 8,657 is: 12,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,380 : 42,568.41 = 8,657 : x
  2. Step 2: Convert to fraction form
    28,380/42,568.41 = 8,657/x
  3. Step 3: Cross multiply
    28,380x = 42,568.41 × 8,657
  4. Step 4: Simplify right side
    28,380x = 368,514,725.37
  5. Step 5: Solve for x
    x = 368,514,725.37/28,380
  6. Step 6: Final answer
    x = 12,985.01

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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.