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Finding the Fourth Proportional to 12,605.29, 18,907.93 and 5,201.61

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Solution

The fourth proportional to 12,605.29, 18,907.93 and 5,201.61 is: 7,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.29 : 18,907.93 = 5,201.61 : x
  2. Step 2: Convert to fraction form
    12,605.29/18,907.93 = 5,201.61/x
  3. Step 3: Cross multiply
    12,605.29x = 18,907.93 × 5,201.61
  4. Step 4: Simplify right side
    12,605.29x = 98,351,677.77
  5. Step 5: Solve for x
    x = 98,351,677.77/12,605.29
  6. Step 6: Final answer
    x = 7,802.41

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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.