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Finding the Fourth Proportional to 30,976, 46,469.76 and 14,560

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Solution

The fourth proportional to 30,976, 46,469.76 and 14,560 is: 21,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976 : 46,469.76 = 14,560 : x
  2. Step 2: Convert to fraction form
    30,976/46,469.76 = 14,560/x
  3. Step 3: Cross multiply
    30,976x = 46,469.76 × 14,560
  4. Step 4: Simplify right side
    30,976x = 676,599,705.60
  5. Step 5: Solve for x
    x = 676,599,705.60/30,976
  6. Step 6: Final answer
    x = 21,842.71

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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.