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Finding the Fourth Proportional to 13,348.26, 18,420.39 and 8,046

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Solution

The fourth proportional to 13,348.26, 18,420.39 and 8,046 is: 11,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.26 : 18,420.39 = 8,046 : x
  2. Step 2: Convert to fraction form
    13,348.26/18,420.39 = 8,046/x
  3. Step 3: Cross multiply
    13,348.26x = 18,420.39 × 8,046
  4. Step 4: Simplify right side
    13,348.26x = 148,210,457.94
  5. Step 5: Solve for x
    x = 148,210,457.94/13,348.26
  6. Step 6: Final answer
    x = 11,103.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.