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Finding the Fourth Proportional to 21,813.59, 32,715.72 and 9,964.01

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Solution

The fourth proportional to 21,813.59, 32,715.72 and 9,964.01 is: 14,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.59 : 32,715.72 = 9,964.01 : x
  2. Step 2: Convert to fraction form
    21,813.59/32,715.72 = 9,964.01/x
  3. Step 3: Cross multiply
    21,813.59x = 32,715.72 × 9,964.01
  4. Step 4: Simplify right side
    21,813.59x = 325,979,843.03
  5. Step 5: Solve for x
    x = 325,979,843.03/21,813.59
  6. Step 6: Final answer
    x = 14,943.89

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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.