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Finding the Fourth Proportional to 21,147.20, 31,720.80 and 19,764.80

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Solution

The fourth proportional to 21,147.20, 31,720.80 and 19,764.80 is: 29,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.20 : 31,720.80 = 19,764.80 : x
  2. Step 2: Convert to fraction form
    21,147.20/31,720.80 = 19,764.80/x
  3. Step 3: Cross multiply
    21,147.20x = 31,720.80 × 19,764.80
  4. Step 4: Simplify right side
    21,147.20x = 626,955,267.84
  5. Step 5: Solve for x
    x = 626,955,267.84/21,147.20
  6. Step 6: Final answer
    x = 29,647.20

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1.5x scale

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.