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Finding the Fourth Proportional to 12,672, 17,487.90 and 7,083

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Solution

The fourth proportional to 12,672, 17,487.90 and 7,083 is: 9,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672 : 17,487.90 = 7,083 : x
  2. Step 2: Convert to fraction form
    12,672/17,487.90 = 7,083/x
  3. Step 3: Cross multiply
    12,672x = 17,487.90 × 7,083
  4. Step 4: Simplify right side
    12,672x = 123,866,795.70
  5. Step 5: Solve for x
    x = 123,866,795.70/12,672
  6. Step 6: Final answer
    x = 9,774.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.