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Finding the Fourth Proportional to 11,059, 15,261.42 and 6,643

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Solution

The fourth proportional to 11,059, 15,261.42 and 6,643 is: 9,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059 : 15,261.42 = 6,643 : x
  2. Step 2: Convert to fraction form
    11,059/15,261.42 = 6,643/x
  3. Step 3: Cross multiply
    11,059x = 15,261.42 × 6,643
  4. Step 4: Simplify right side
    11,059x = 101,381,613.06
  5. Step 5: Solve for x
    x = 101,381,613.06/11,059
  6. Step 6: Final answer
    x = 9,167.34

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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.