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Finding the Fourth Proportional to 10,251, 15,379.38 and 5,055.48

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Solution

The fourth proportional to 10,251, 15,379.38 and 5,055.48 is: 7,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251 : 15,379.38 = 5,055.48 : x
  2. Step 2: Convert to fraction form
    10,251/15,379.38 = 5,055.48/x
  3. Step 3: Cross multiply
    10,251x = 15,379.38 × 5,055.48
  4. Step 4: Simplify right side
    10,251x = 77,750,148.00
  5. Step 5: Solve for x
    x = 77,750,148.00/10,251
  6. Step 6: Final answer
    x = 7,584.64

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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.