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Finding the Fourth Proportional to 13,407.49, 18,511 and 8,308.42

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Solution

The fourth proportional to 13,407.49, 18,511 and 8,308.42 is: 11,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.49 : 18,511 = 8,308.42 : x
  2. Step 2: Convert to fraction form
    13,407.49/18,511 = 8,308.42/x
  3. Step 3: Cross multiply
    13,407.49x = 18,511 × 8,308.42
  4. Step 4: Simplify right side
    13,407.49x = 153,797,162.62
  5. Step 5: Solve for x
    x = 153,797,162.62/13,407.49
  6. Step 6: Final answer
    x = 11,470.99

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1.5x scale

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.