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Finding the Fourth Proportional to 14,697.16, 20,282.05 and 7,982.78

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Solution

The fourth proportional to 14,697.16, 20,282.05 and 7,982.78 is: 11,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.16 : 20,282.05 = 7,982.78 : x
  2. Step 2: Convert to fraction form
    14,697.16/20,282.05 = 7,982.78/x
  3. Step 3: Cross multiply
    14,697.16x = 20,282.05 × 7,982.78
  4. Step 4: Simplify right side
    14,697.16x = 161,907,173.85
  5. Step 5: Solve for x
    x = 161,907,173.85/14,697.16
  6. Step 6: Final answer
    x = 11,016.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.