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Finding the Fourth Proportional to 8,355, 11,529.90 and 5,043

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Solution

The fourth proportional to 8,355, 11,529.90 and 5,043 is: 6,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355 : 11,529.90 = 5,043 : x
  2. Step 2: Convert to fraction form
    8,355/11,529.90 = 5,043/x
  3. Step 3: Cross multiply
    8,355x = 11,529.90 × 5,043
  4. Step 4: Simplify right side
    8,355x = 58,145,285.70
  5. Step 5: Solve for x
    x = 58,145,285.70/8,355
  6. Step 6: Final answer
    x = 6,959.34

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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.