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Finding the Fourth Proportional to 13,991.48, 20,981.08 and 7,416.16

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Solution

The fourth proportional to 13,991.48, 20,981.08 and 7,416.16 is: 11,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.48 : 20,981.08 = 7,416.16 : x
  2. Step 2: Convert to fraction form
    13,991.48/20,981.08 = 7,416.16/x
  3. Step 3: Cross multiply
    13,991.48x = 20,981.08 × 7,416.16
  4. Step 4: Simplify right side
    13,991.48x = 155,599,046.25
  5. Step 5: Solve for x
    x = 155,599,046.25/13,991.48
  6. Step 6: Final answer
    x = 11,120.99

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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.