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Finding the Fourth Proportional to 10,858.92, 14,985.89 and 6,078.57

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Solution

The fourth proportional to 10,858.92, 14,985.89 and 6,078.57 is: 8,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.92 : 14,985.89 = 6,078.57 : x
  2. Step 2: Convert to fraction form
    10,858.92/14,985.89 = 6,078.57/x
  3. Step 3: Cross multiply
    10,858.92x = 14,985.89 × 6,078.57
  4. Step 4: Simplify right side
    10,858.92x = 91,092,781.38
  5. Step 5: Solve for x
    x = 91,092,781.38/10,858.92
  6. Step 6: Final answer
    x = 8,388.75

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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.