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Finding the Fourth Proportional to 28,293.82, 42,447.29 and 8,302.50

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Solution

The fourth proportional to 28,293.82, 42,447.29 and 8,302.50 is: 12,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,293.82 : 42,447.29 = 8,302.50 : x
  2. Step 2: Convert to fraction form
    28,293.82/42,447.29 = 8,302.50/x
  3. Step 3: Cross multiply
    28,293.82x = 42,447.29 × 8,302.50
  4. Step 4: Simplify right side
    28,293.82x = 352,418,625.23
  5. Step 5: Solve for x
    x = 352,418,625.23/28,293.82
  6. Step 6: Final answer
    x = 12,455.67

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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.