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Finding the Fourth Proportional to 28,201, 42,302.18 and 9,481.28

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Solution

The fourth proportional to 28,201, 42,302.18 and 9,481.28 is: 14,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,201 : 42,302.18 = 9,481.28 : x
  2. Step 2: Convert to fraction form
    28,201/42,302.18 = 9,481.28/x
  3. Step 3: Cross multiply
    28,201x = 42,302.18 × 9,481.28
  4. Step 4: Simplify right side
    28,201x = 401,078,813.19
  5. Step 5: Solve for x
    x = 401,078,813.19/28,201
  6. Step 6: Final answer
    x = 14,222.15

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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.