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Finding the Fourth Proportional to 21,986.04, 32,978.52 and 6,403.80

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Solution

The fourth proportional to 21,986.04, 32,978.52 and 6,403.80 is: 9,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.04 : 32,978.52 = 6,403.80 : x
  2. Step 2: Convert to fraction form
    21,986.04/32,978.52 = 6,403.80/x
  3. Step 3: Cross multiply
    21,986.04x = 32,978.52 × 6,403.80
  4. Step 4: Simplify right side
    21,986.04x = 211,187,846.38
  5. Step 5: Solve for x
    x = 211,187,846.38/21,986.04
  6. Step 6: Final answer
    x = 9,605.54

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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.