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Finding the Fourth Proportional to 28,596.59, 42,894.27 and 7,820.09

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Solution

The fourth proportional to 28,596.59, 42,894.27 and 7,820.09 is: 11,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,596.59 : 42,894.27 = 7,820.09 : x
  2. Step 2: Convert to fraction form
    28,596.59/42,894.27 = 7,820.09/x
  3. Step 3: Cross multiply
    28,596.59x = 42,894.27 × 7,820.09
  4. Step 4: Simplify right side
    28,596.59x = 335,436,837.41
  5. Step 5: Solve for x
    x = 335,436,837.41/28,596.59
  6. Step 6: Final answer
    x = 11,729.96

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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.