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Finding the Fourth Proportional to 28,288, 42,432 and 9,820

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Solution

The fourth proportional to 28,288, 42,432 and 9,820 is: 14,730

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,288 : 42,432 = 9,820 : x
  2. Step 2: Convert to fraction form
    28,288/42,432 = 9,820/x
  3. Step 3: Cross multiply
    28,288x = 42,432 × 9,820
  4. Step 4: Simplify right side
    28,288x = 416,682,240
  5. Step 5: Solve for x
    x = 416,682,240/28,288
  6. Step 6: Final answer
    x = 14,730

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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.