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Finding the Fourth Proportional to 10,858, 14,976.90 and 8,616.32

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Solution

The fourth proportional to 10,858, 14,976.90 and 8,616.32 is: 11,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858 : 14,976.90 = 8,616.32 : x
  2. Step 2: Convert to fraction form
    10,858/14,976.90 = 8,616.32/x
  3. Step 3: Cross multiply
    10,858x = 14,976.90 × 8,616.32
  4. Step 4: Simplify right side
    10,858x = 129,045,763.01
  5. Step 5: Solve for x
    x = 129,045,763.01/10,858
  6. Step 6: Final answer
    x = 11,884.86

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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.