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Finding the Fourth Proportional to 8,221, 11,345.26 and 4,495.24

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Solution

The fourth proportional to 8,221, 11,345.26 and 4,495.24 is: 6,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221 : 11,345.26 = 4,495.24 : x
  2. Step 2: Convert to fraction form
    8,221/11,345.26 = 4,495.24/x
  3. Step 3: Cross multiply
    8,221x = 11,345.26 × 4,495.24
  4. Step 4: Simplify right side
    8,221x = 50,999,666.56
  5. Step 5: Solve for x
    x = 50,999,666.56/8,221
  6. Step 6: Final answer
    x = 6,203.58

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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.