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Finding the Fourth Proportional to 21,140, 31,710 and 8,828

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Solution

The fourth proportional to 21,140, 31,710 and 8,828 is: 13,242

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140 : 31,710 = 8,828 : x
  2. Step 2: Convert to fraction form
    21,140/31,710 = 8,828/x
  3. Step 3: Cross multiply
    21,140x = 31,710 × 8,828
  4. Step 4: Simplify right side
    21,140x = 279,935,880
  5. Step 5: Solve for x
    x = 279,935,880/21,140
  6. Step 6: Final answer
    x = 13,242

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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.