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Finding the Fourth Proportional to 14,216.64, 21,322.08 and 7,982.88

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Solution

The fourth proportional to 14,216.64, 21,322.08 and 7,982.88 is: 11,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.64 : 21,322.08 = 7,982.88 : x
  2. Step 2: Convert to fraction form
    14,216.64/21,322.08 = 7,982.88/x
  3. Step 3: Cross multiply
    14,216.64x = 21,322.08 × 7,982.88
  4. Step 4: Simplify right side
    14,216.64x = 170,211,605.99
  5. Step 5: Solve for x
    x = 170,211,605.99/14,216.64
  6. Step 6: Final answer
    x = 11,972.70

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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.