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Finding the Fourth Proportional to 12,265.29, 18,409.49 and 6,426

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Solution

The fourth proportional to 12,265.29, 18,409.49 and 6,426 is: 9,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.29 : 18,409.49 = 6,426 : x
  2. Step 2: Convert to fraction form
    12,265.29/18,409.49 = 6,426/x
  3. Step 3: Cross multiply
    12,265.29x = 18,409.49 × 6,426
  4. Step 4: Simplify right side
    12,265.29x = 118,299,350.61
  5. Step 5: Solve for x
    x = 118,299,350.61/12,265.29
  6. Step 6: Final answer
    x = 9,645.05

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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.