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Finding the Fourth Proportional to 13,992.60, 20,937.06 and 7,840.92

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Solution

The fourth proportional to 13,992.60, 20,937.06 and 7,840.92 is: 11,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.60 : 20,937.06 = 7,840.92 : x
  2. Step 2: Convert to fraction form
    13,992.60/20,937.06 = 7,840.92/x
  3. Step 3: Cross multiply
    13,992.60x = 20,937.06 × 7,840.92
  4. Step 4: Simplify right side
    13,992.60x = 164,165,812.50
  5. Step 5: Solve for x
    x = 164,165,812.50/13,992.60
  6. Step 6: Final answer
    x = 11,732.33

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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.