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Finding the Fourth Proportional to 10,094.34, 15,142.19 and 3,431.51

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Solution

The fourth proportional to 10,094.34, 15,142.19 and 3,431.51 is: 5,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.34 : 15,142.19 = 3,431.51 : x
  2. Step 2: Convert to fraction form
    10,094.34/15,142.19 = 3,431.51/x
  3. Step 3: Cross multiply
    10,094.34x = 15,142.19 × 3,431.51
  4. Step 4: Simplify right side
    10,094.34x = 51,960,576.41
  5. Step 5: Solve for x
    x = 51,960,576.41/10,094.34
  6. Step 6: Final answer
    x = 5,147.50

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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.