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Finding the Fourth Proportional to 11,538, 15,922.80 and 6,570

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Solution

The fourth proportional to 11,538, 15,922.80 and 6,570 is: 9,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538 : 15,922.80 = 6,570 : x
  2. Step 2: Convert to fraction form
    11,538/15,922.80 = 6,570/x
  3. Step 3: Cross multiply
    11,538x = 15,922.80 × 6,570
  4. Step 4: Simplify right side
    11,538x = 104,612,796
  5. Step 5: Solve for x
    x = 104,612,796/11,538
  6. Step 6: Final answer
    x = 9,066.80

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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.