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Finding the Fourth Proportional to 21,353.51, 32,033.90 and 9,511.51

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Solution

The fourth proportional to 21,353.51, 32,033.90 and 9,511.51 is: 14,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,353.51 : 32,033.90 = 9,511.51 : x
  2. Step 2: Convert to fraction form
    21,353.51/32,033.90 = 9,511.51/x
  3. Step 3: Cross multiply
    21,353.51x = 32,033.90 × 9,511.51
  4. Step 4: Simplify right side
    21,353.51x = 304,690,703.88
  5. Step 5: Solve for x
    x = 304,690,703.88/21,353.51
  6. Step 6: Final answer
    x = 14,268.88

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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.