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Finding the Fourth Proportional to 21,784.50, 32,672.58 and 8,457.50

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Solution

The fourth proportional to 21,784.50, 32,672.58 and 8,457.50 is: 12,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.50 : 32,672.58 = 8,457.50 : x
  2. Step 2: Convert to fraction form
    21,784.50/32,672.58 = 8,457.50/x
  3. Step 3: Cross multiply
    21,784.50x = 32,672.58 × 8,457.50
  4. Step 4: Simplify right side
    21,784.50x = 276,328,181.99
  5. Step 5: Solve for x
    x = 276,328,181.99/21,784.50
  6. Step 6: Final answer
    x = 12,684.62

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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.