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Finding the Fourth Proportional to 10,028, 15,042.80 and 3,102.48

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Solution

The fourth proportional to 10,028, 15,042.80 and 3,102.48 is: 4,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028 : 15,042.80 = 3,102.48 : x
  2. Step 2: Convert to fraction form
    10,028/15,042.80 = 3,102.48/x
  3. Step 3: Cross multiply
    10,028x = 15,042.80 × 3,102.48
  4. Step 4: Simplify right side
    10,028x = 46,669,986.14
  5. Step 5: Solve for x
    x = 46,669,986.14/10,028
  6. Step 6: Final answer
    x = 4,653.97

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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.