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Finding the Fourth Proportional to 8,355, 11,529.91 and 4,997.96

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Solution

The fourth proportional to 8,355, 11,529.91 and 4,997.96 is: 6,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355 : 11,529.91 = 4,997.96 : x
  2. Step 2: Convert to fraction form
    8,355/11,529.91 = 4,997.96/x
  3. Step 3: Cross multiply
    8,355x = 11,529.91 × 4,997.96
  4. Step 4: Simplify right side
    8,355x = 57,625,946.34
  5. Step 5: Solve for x
    x = 57,625,946.34/8,355
  6. Step 6: Final answer
    x = 6,897.18

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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.