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Finding the Fourth Proportional to 21,790.80, 32,697 and 8,642.88

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Solution

The fourth proportional to 21,790.80, 32,697 and 8,642.88 is: 12,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,790.80 : 32,697 = 8,642.88 : x
  2. Step 2: Convert to fraction form
    21,790.80/32,697 = 8,642.88/x
  3. Step 3: Cross multiply
    21,790.80x = 32,697 × 8,642.88
  4. Step 4: Simplify right side
    21,790.80x = 282,596,247.36
  5. Step 5: Solve for x
    x = 282,596,247.36/21,790.80
  6. Step 6: Final answer
    x = 12,968.60

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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.