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Finding the Fourth Proportional to 28,289, 42,433.50 and 9,821

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Solution

The fourth proportional to 28,289, 42,433.50 and 9,821 is: 14,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,289 : 42,433.50 = 9,821 : x
  2. Step 2: Convert to fraction form
    28,289/42,433.50 = 9,821/x
  3. Step 3: Cross multiply
    28,289x = 42,433.50 × 9,821
  4. Step 4: Simplify right side
    28,289x = 416,739,403.50
  5. Step 5: Solve for x
    x = 416,739,403.50/28,289
  6. Step 6: Final answer
    x = 14,731.50

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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.