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Finding the Fourth Proportional to 12,457, 18,688.46 and 4,249

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Solution

The fourth proportional to 12,457, 18,688.46 and 4,249 is: 6,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457 : 18,688.46 = 4,249 : x
  2. Step 2: Convert to fraction form
    12,457/18,688.46 = 4,249/x
  3. Step 3: Cross multiply
    12,457x = 18,688.46 × 4,249
  4. Step 4: Simplify right side
    12,457x = 79,407,266.54
  5. Step 5: Solve for x
    x = 79,407,266.54/12,457
  6. Step 6: Final answer
    x = 6,374.51

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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.