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Finding the Fourth Proportional to 42,576, 63,865.08 and 14,874

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Solution

The fourth proportional to 42,576, 63,865.08 and 14,874 is: 22,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,576 : 63,865.08 = 14,874 : x
  2. Step 2: Convert to fraction form
    42,576/63,865.08 = 14,874/x
  3. Step 3: Cross multiply
    42,576x = 63,865.08 × 14,874
  4. Step 4: Simplify right side
    42,576x = 949,929,199.92
  5. Step 5: Solve for x
    x = 949,929,199.92/42,576
  6. Step 6: Final answer
    x = 22,311.38

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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.