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Finding the Fourth Proportional to 30,728, 46,092 and 8,840

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Solution

The fourth proportional to 30,728, 46,092 and 8,840 is: 13,260

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728 : 46,092 = 8,840 : x
  2. Step 2: Convert to fraction form
    30,728/46,092 = 8,840/x
  3. Step 3: Cross multiply
    30,728x = 46,092 × 8,840
  4. Step 4: Simplify right side
    30,728x = 407,453,280
  5. Step 5: Solve for x
    x = 407,453,280/30,728
  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.