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Finding the Fourth Proportional to 21,406.80, 32,069.40 and 11,542.80

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Solution

The fourth proportional to 21,406.80, 32,069.40 and 11,542.80 is: 17,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.80 : 32,069.40 = 11,542.80 : x
  2. Step 2: Convert to fraction form
    21,406.80/32,069.40 = 11,542.80/x
  3. Step 3: Cross multiply
    21,406.80x = 32,069.40 × 11,542.80
  4. Step 4: Simplify right side
    21,406.80x = 370,170,670.32
  5. Step 5: Solve for x
    x = 370,170,670.32/21,406.80
  6. Step 6: Final answer
    x = 17,292.20

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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.