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Finding the Fourth Proportional to 28,183.08, 42,263.74 and 8,457

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Solution

The fourth proportional to 28,183.08, 42,263.74 and 8,457 is: 12,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,183.08 : 42,263.74 = 8,457 : x
  2. Step 2: Convert to fraction form
    28,183.08/42,263.74 = 8,457/x
  3. Step 3: Cross multiply
    28,183.08x = 42,263.74 × 8,457
  4. Step 4: Simplify right side
    28,183.08x = 357,424,449.18
  5. Step 5: Solve for x
    x = 357,424,449.18/28,183.08
  6. Step 6: Final answer
    x = 12,682.24

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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.