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Finding the Fourth Proportional to 21,780.54, 32,674.05 and 7,739.40

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Solution

The fourth proportional to 21,780.54, 32,674.05 and 7,739.40 is: 11,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.54 : 32,674.05 = 7,739.40 : x
  2. Step 2: Convert to fraction form
    21,780.54/32,674.05 = 7,739.40/x
  3. Step 3: Cross multiply
    21,780.54x = 32,674.05 × 7,739.40
  4. Step 4: Simplify right side
    21,780.54x = 252,877,542.57
  5. Step 5: Solve for x
    x = 252,877,542.57/21,780.54
  6. Step 6: Final answer
    x = 11,610.25

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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.