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Finding the Fourth Proportional to 11,579.81, 15,978.38 and 6,543.72

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Solution

The fourth proportional to 11,579.81, 15,978.38 and 6,543.72 is: 9,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579.81 : 15,978.38 = 6,543.72 : x
  2. Step 2: Convert to fraction form
    11,579.81/15,978.38 = 6,543.72/x
  3. Step 3: Cross multiply
    11,579.81x = 15,978.38 × 6,543.72
  4. Step 4: Simplify right side
    11,579.81x = 104,558,012.06
  5. Step 5: Solve for x
    x = 104,558,012.06/11,579.81
  6. Step 6: Final answer
    x = 9,029.34

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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.