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Finding the Fourth Proportional to 38,457, 57,685.50 and 10,755

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Solution

The fourth proportional to 38,457, 57,685.50 and 10,755 is: 16,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457 : 57,685.50 = 10,755 : x
  2. Step 2: Convert to fraction form
    38,457/57,685.50 = 10,755/x
  3. Step 3: Cross multiply
    38,457x = 57,685.50 × 10,755
  4. Step 4: Simplify right side
    38,457x = 620,407,552.50
  5. Step 5: Solve for x
    x = 620,407,552.50/38,457
  6. Step 6: Final answer
    x = 16,132.50

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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.