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Finding the Fourth Proportional to 38,651.89, 57,977.10 and 12,356.64

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Solution

The fourth proportional to 38,651.89, 57,977.10 and 12,356.64 is: 18,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,651.89 : 57,977.10 = 12,356.64 : x
  2. Step 2: Convert to fraction form
    38,651.89/57,977.10 = 12,356.64/x
  3. Step 3: Cross multiply
    38,651.89x = 57,977.10 × 12,356.64
  4. Step 4: Simplify right side
    38,651.89x = 716,402,152.94
  5. Step 5: Solve for x
    x = 716,402,152.94/38,651.89
  6. Step 6: Final answer
    x = 18,534.73

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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.