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Finding the Fourth Proportional to 15,751.21, 23,623.56 and 7,427.65

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Solution

The fourth proportional to 15,751.21, 23,623.56 and 7,427.65 is: 11,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.21 : 23,623.56 = 7,427.65 : x
  2. Step 2: Convert to fraction form
    15,751.21/23,623.56 = 7,427.65/x
  3. Step 3: Cross multiply
    15,751.21x = 23,623.56 × 7,427.65
  4. Step 4: Simplify right side
    15,751.21x = 175,467,535.43
  5. Step 5: Solve for x
    x = 175,467,535.43/15,751.21
  6. Step 6: Final answer
    x = 11,139.94

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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.