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Finding the Fourth Proportional to 48,916, 73,374.18 and 11,980

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Solution

The fourth proportional to 48,916, 73,374.18 and 11,980 is: 17,970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,916 : 73,374.18 = 11,980 : x
  2. Step 2: Convert to fraction form
    48,916/73,374.18 = 11,980/x
  3. Step 3: Cross multiply
    48,916x = 73,374.18 × 11,980
  4. Step 4: Simplify right side
    48,916x = 879,022,676.40
  5. Step 5: Solve for x
    x = 879,022,676.40/48,916
  6. Step 6: Final answer
    x = 17,970.04

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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.