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Finding the Fourth Proportional to 28,021, 42,033.54 and 8,030.20

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Solution

The fourth proportional to 28,021, 42,033.54 and 8,030.20 is: 12,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,021 : 42,033.54 = 8,030.20 : x
  2. Step 2: Convert to fraction form
    28,021/42,033.54 = 8,030.20/x
  3. Step 3: Cross multiply
    28,021x = 42,033.54 × 8,030.20
  4. Step 4: Simplify right side
    28,021x = 337,537,732.91
  5. Step 5: Solve for x
    x = 337,537,732.91/28,021
  6. Step 6: Final answer
    x = 12,045.88

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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.