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Finding the Fourth Proportional to 13,270.96, 19,910.76 and 6,346

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Solution

The fourth proportional to 13,270.96, 19,910.76 and 6,346 is: 9,521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270.96 : 19,910.76 = 6,346 : x
  2. Step 2: Convert to fraction form
    13,270.96/19,910.76 = 6,346/x
  3. Step 3: Cross multiply
    13,270.96x = 19,910.76 × 6,346
  4. Step 4: Simplify right side
    13,270.96x = 126,353,682.96
  5. Step 5: Solve for x
    x = 126,353,682.96/13,270.96
  6. Step 6: Final answer
    x = 9,521.07

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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.