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Finding the Fourth Proportional to 48,456, 72,684 and 12,917.43

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Solution

The fourth proportional to 48,456, 72,684 and 12,917.43 is: 19,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,456 : 72,684 = 12,917.43 : x
  2. Step 2: Convert to fraction form
    48,456/72,684 = 12,917.43/x
  3. Step 3: Cross multiply
    48,456x = 72,684 × 12,917.43
  4. Step 4: Simplify right side
    48,456x = 938,890,482.12
  5. Step 5: Solve for x
    x = 938,890,482.12/48,456
  6. Step 6: Final answer
    x = 19,376.15

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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.