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Finding the Fourth Proportional to 21,861.51, 32,784.23 and 7,817.73

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Solution

The fourth proportional to 21,861.51, 32,784.23 and 7,817.73 is: 11,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,861.51 : 32,784.23 = 7,817.73 : x
  2. Step 2: Convert to fraction form
    21,861.51/32,784.23 = 7,817.73/x
  3. Step 3: Cross multiply
    21,861.51x = 32,784.23 × 7,817.73
  4. Step 4: Simplify right side
    21,861.51x = 256,298,277.94
  5. Step 5: Solve for x
    x = 256,298,277.94/21,861.51
  6. Step 6: Final answer
    x = 11,723.72

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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.