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Finding the Fourth Proportional to 15,857.12, 23,789.22 and 8,457.68

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Solution

The fourth proportional to 15,857.12, 23,789.22 and 8,457.68 is: 12,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.12 : 23,789.22 = 8,457.68 : x
  2. Step 2: Convert to fraction form
    15,857.12/23,789.22 = 8,457.68/x
  3. Step 3: Cross multiply
    15,857.12x = 23,789.22 × 8,457.68
  4. Step 4: Simplify right side
    15,857.12x = 201,201,610.21
  5. Step 5: Solve for x
    x = 201,201,610.21/15,857.12
  6. Step 6: Final answer
    x = 12,688.41

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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.