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Finding the Fourth Proportional to 13,906.91, 20,840.91 and 6,492.98

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Solution

The fourth proportional to 13,906.91, 20,840.91 and 6,492.98 is: 9,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.91 : 20,840.91 = 6,492.98 : x
  2. Step 2: Convert to fraction form
    13,906.91/20,840.91 = 6,492.98/x
  3. Step 3: Cross multiply
    13,906.91x = 20,840.91 × 6,492.98
  4. Step 4: Simplify right side
    13,906.91x = 135,319,507.61
  5. Step 5: Solve for x
    x = 135,319,507.61/13,906.91
  6. Step 6: Final answer
    x = 9,730.38

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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.