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Finding the Fourth Proportional to 21,205.80, 31,810.22 and 6,415.87

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Solution

The fourth proportional to 21,205.80, 31,810.22 and 6,415.87 is: 9,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.80 : 31,810.22 = 6,415.87 : x
  2. Step 2: Convert to fraction form
    21,205.80/31,810.22 = 6,415.87/x
  3. Step 3: Cross multiply
    21,205.80x = 31,810.22 × 6,415.87
  4. Step 4: Simplify right side
    21,205.80x = 204,090,351.64
  5. Step 5: Solve for x
    x = 204,090,351.64/21,205.80
  6. Step 6: Final answer
    x = 9,624.27

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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.