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Finding the Fourth Proportional to 13,645.47, 18,824.63 and 8,339.30

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Solution

The fourth proportional to 13,645.47, 18,824.63 and 8,339.30 is: 11,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.47 : 18,824.63 = 8,339.30 : x
  2. Step 2: Convert to fraction form
    13,645.47/18,824.63 = 8,339.30/x
  3. Step 3: Cross multiply
    13,645.47x = 18,824.63 × 8,339.30
  4. Step 4: Simplify right side
    13,645.47x = 156,984,101.14
  5. Step 5: Solve for x
    x = 156,984,101.14/13,645.47
  6. Step 6: Final answer
    x = 11,504.48

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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.