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Finding the Fourth Proportional to 12,280, 18,420.96 and 4,072

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Solution

The fourth proportional to 12,280, 18,420.96 and 4,072 is: 6,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280 : 18,420.96 = 4,072 : x
  2. Step 2: Convert to fraction form
    12,280/18,420.96 = 4,072/x
  3. Step 3: Cross multiply
    12,280x = 18,420.96 × 4,072
  4. Step 4: Simplify right side
    12,280x = 75,010,149.12
  5. Step 5: Solve for x
    x = 75,010,149.12/12,280
  6. Step 6: Final answer
    x = 6,108.32

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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.