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Finding the Fourth Proportional to 13,693.20, 20,540.06 and 6,295.64

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Solution

The fourth proportional to 13,693.20, 20,540.06 and 6,295.64 is: 9,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.20 : 20,540.06 = 6,295.64 : x
  2. Step 2: Convert to fraction form
    13,693.20/20,540.06 = 6,295.64/x
  3. Step 3: Cross multiply
    13,693.20x = 20,540.06 × 6,295.64
  4. Step 4: Simplify right side
    13,693.20x = 129,312,823.34
  5. Step 5: Solve for x
    x = 129,312,823.34/13,693.20
  6. Step 6: Final answer
    x = 9,443.58

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1.5x scale

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.