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Finding the Fourth Proportional to 28,179.64, 42,269.82 and 13,390

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Solution

The fourth proportional to 28,179.64, 42,269.82 and 13,390 is: 20,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,179.64 : 42,269.82 = 13,390 : x
  2. Step 2: Convert to fraction form
    28,179.64/42,269.82 = 13,390/x
  3. Step 3: Cross multiply
    28,179.64x = 42,269.82 × 13,390
  4. Step 4: Simplify right side
    28,179.64x = 565,992,889.80
  5. Step 5: Solve for x
    x = 565,992,889.80/28,179.64
  6. Step 6: Final answer
    x = 20,085.17

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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.