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Finding the Fourth Proportional to 11,578.82, 15,978.80 and 6,543.05

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Solution

The fourth proportional to 11,578.82, 15,978.80 and 6,543.05 is: 9,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.82 : 15,978.80 = 6,543.05 : x
  2. Step 2: Convert to fraction form
    11,578.82/15,978.80 = 6,543.05/x
  3. Step 3: Cross multiply
    11,578.82x = 15,978.80 × 6,543.05
  4. Step 4: Simplify right side
    11,578.82x = 104,550,023.80
  5. Step 5: Solve for x
    x = 104,550,023.80/11,578.82
  6. Step 6: Final answer
    x = 9,029.42

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1.5x scale

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.