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Finding the Fourth Proportional to 12,582.09, 18,879.29 and 8,907.93

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Solution

The fourth proportional to 12,582.09, 18,879.29 and 8,907.93 is: 13,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.09 : 18,879.29 = 8,907.93 : x
  2. Step 2: Convert to fraction form
    12,582.09/18,879.29 = 8,907.93/x
  3. Step 3: Cross multiply
    12,582.09x = 18,879.29 × 8,907.93
  4. Step 4: Simplify right side
    12,582.09x = 168,175,475.70
  5. Step 5: Solve for x
    x = 168,175,475.70/12,582.09
  6. Step 6: Final answer
    x = 13,366.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.