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Finding the Fourth Proportional to 21,563.80, 32,345.70 and 6,774

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Solution

The fourth proportional to 21,563.80, 32,345.70 and 6,774 is: 10,161

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.80 : 32,345.70 = 6,774 : x
  2. Step 2: Convert to fraction form
    21,563.80/32,345.70 = 6,774/x
  3. Step 3: Cross multiply
    21,563.80x = 32,345.70 × 6,774
  4. Step 4: Simplify right side
    21,563.80x = 219,109,771.80
  5. Step 5: Solve for x
    x = 219,109,771.80/21,563.80
  6. Step 6: Final answer
    x = 10,161

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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.