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Finding the Fourth Proportional to 14,872, 22,309.28 and 3,928

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Solution

The fourth proportional to 14,872, 22,309.28 and 3,928 is: 5,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872 : 22,309.28 = 3,928 : x
  2. Step 2: Convert to fraction form
    14,872/22,309.28 = 3,928/x
  3. Step 3: Cross multiply
    14,872x = 22,309.28 × 3,928
  4. Step 4: Simplify right side
    14,872x = 87,630,851.84
  5. Step 5: Solve for x
    x = 87,630,851.84/14,872
  6. Step 6: Final answer
    x = 5,892.34

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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.