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Finding the Fourth Proportional to 13,886.62, 20,835.06 and 6,493.48

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Solution

The fourth proportional to 13,886.62, 20,835.06 and 6,493.48 is: 9,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.62 : 20,835.06 = 6,493.48 : x
  2. Step 2: Convert to fraction form
    13,886.62/20,835.06 = 6,493.48/x
  3. Step 3: Cross multiply
    13,886.62x = 20,835.06 × 6,493.48
  4. Step 4: Simplify right side
    13,886.62x = 135,292,045.41
  5. Step 5: Solve for x
    x = 135,292,045.41/13,886.62
  6. Step 6: Final answer
    x = 9,742.62

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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.