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Finding the Fourth Proportional to 11,978.13, 16,528.56 and 6,943.93

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Solution

The fourth proportional to 11,978.13, 16,528.56 and 6,943.93 is: 9,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.13 : 16,528.56 = 6,943.93 : x
  2. Step 2: Convert to fraction form
    11,978.13/16,528.56 = 6,943.93/x
  3. Step 3: Cross multiply
    11,978.13x = 16,528.56 × 6,943.93
  4. Step 4: Simplify right side
    11,978.13x = 114,773,163.64
  5. Step 5: Solve for x
    x = 114,773,163.64/11,978.13
  6. Step 6: Final answer
    x = 9,581.89

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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.