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Finding the Fourth Proportional to 21,968.68, 32,943.72 and 8,457.64

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Solution

The fourth proportional to 21,968.68, 32,943.72 and 8,457.64 is: 12,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968.68 : 32,943.72 = 8,457.64 : x
  2. Step 2: Convert to fraction form
    21,968.68/32,943.72 = 8,457.64/x
  3. Step 3: Cross multiply
    21,968.68x = 32,943.72 × 8,457.64
  4. Step 4: Simplify right side
    21,968.68x = 278,626,124.02
  5. Step 5: Solve for x
    x = 278,626,124.02/21,968.68
  6. Step 6: Final answer
    x = 12,682.88

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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.