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Finding the Fourth Proportional to 39,176, 54,062.88 and 21,512

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Solution

The fourth proportional to 39,176, 54,062.88 and 21,512 is: 29,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,176 : 54,062.88 = 21,512 : x
  2. Step 2: Convert to fraction form
    39,176/54,062.88 = 21,512/x
  3. Step 3: Cross multiply
    39,176x = 54,062.88 × 21,512
  4. Step 4: Simplify right side
    39,176x = 1,163,000,674.56
  5. Step 5: Solve for x
    x = 1,163,000,674.56/39,176
  6. Step 6: Final answer
    x = 29,686.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.