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Finding the Fourth Proportional to 10,355, 14,289 and 5,878.94

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Solution

The fourth proportional to 10,355, 14,289 and 5,878.94 is: 8,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355 : 14,289 = 5,878.94 : x
  2. Step 2: Convert to fraction form
    10,355/14,289 = 5,878.94/x
  3. Step 3: Cross multiply
    10,355x = 14,289 × 5,878.94
  4. Step 4: Simplify right side
    10,355x = 84,004,173.66
  5. Step 5: Solve for x
    x = 84,004,173.66/10,355
  6. Step 6: Final answer
    x = 8,112.43

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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.