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Finding the Fourth Proportional to 14,142, 21,213 and 4,908

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Solution

The fourth proportional to 14,142, 21,213 and 4,908 is: 7,362

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142 : 21,213 = 4,908 : x
  2. Step 2: Convert to fraction form
    14,142/21,213 = 4,908/x
  3. Step 3: Cross multiply
    14,142x = 21,213 × 4,908
  4. Step 4: Simplify right side
    14,142x = 104,113,404
  5. Step 5: Solve for x
    x = 104,113,404/14,142
  6. Step 6: Final answer
    x = 7,362

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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.