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Finding the Fourth Proportional to 10,234, 15,341.28 and 3,989.44

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Solution

The fourth proportional to 10,234, 15,341.28 and 3,989.44 is: 5,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234 : 15,341.28 = 3,989.44 : x
  2. Step 2: Convert to fraction form
    10,234/15,341.28 = 3,989.44/x
  3. Step 3: Cross multiply
    10,234x = 15,341.28 × 3,989.44
  4. Step 4: Simplify right side
    10,234x = 61,203,116.08
  5. Step 5: Solve for x
    x = 61,203,116.08/10,234
  6. Step 6: Final answer
    x = 5,980.37

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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.