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Finding the Fourth Proportional to 21,152, 31,728 and 8,840

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Solution

The fourth proportional to 21,152, 31,728 and 8,840 is: 13,260

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152 : 31,728 = 8,840 : x
  2. Step 2: Convert to fraction form
    21,152/31,728 = 8,840/x
  3. Step 3: Cross multiply
    21,152x = 31,728 × 8,840
  4. Step 4: Simplify right side
    21,152x = 280,475,520
  5. Step 5: Solve for x
    x = 280,475,520/21,152
  6. Step 6: Final answer
    x = 13,260

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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.