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Finding the Fourth Proportional to 8,543.78, 11,789.94 and 5,357.21

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Solution

The fourth proportional to 8,543.78, 11,789.94 and 5,357.21 is: 7,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.78 : 11,789.94 = 5,357.21 : x
  2. Step 2: Convert to fraction form
    8,543.78/11,789.94 = 5,357.21/x
  3. Step 3: Cross multiply
    8,543.78x = 11,789.94 × 5,357.21
  4. Step 4: Simplify right side
    8,543.78x = 63,161,174.82
  5. Step 5: Solve for x
    x = 63,161,174.82/8,543.78
  6. Step 6: Final answer
    x = 7,392.65

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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.