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Finding the Fourth Proportional to 37,638, 56,457 and 13,014

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Solution

The fourth proportional to 37,638, 56,457 and 13,014 is: 19,521

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638 : 56,457 = 13,014 : x
  2. Step 2: Convert to fraction form
    37,638/56,457 = 13,014/x
  3. Step 3: Cross multiply
    37,638x = 56,457 × 13,014
  4. Step 4: Simplify right side
    37,638x = 734,731,398
  5. Step 5: Solve for x
    x = 734,731,398/37,638
  6. Step 6: Final answer
    x = 19,521

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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.