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Finding the Fourth Proportional to 12,356.88, 18,537.13 and 3,590.66

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Solution

The fourth proportional to 12,356.88, 18,537.13 and 3,590.66 is: 5,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.88 : 18,537.13 = 3,590.66 : x
  2. Step 2: Convert to fraction form
    12,356.88/18,537.13 = 3,590.66/x
  3. Step 3: Cross multiply
    12,356.88x = 18,537.13 × 3,590.66
  4. Step 4: Simplify right side
    12,356.88x = 66,560,429.54
  5. Step 5: Solve for x
    x = 66,560,429.54/12,356.88
  6. Step 6: Final answer
    x = 5,386.51

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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.