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Finding the Fourth Proportional to 48,460, 72,690 and 12,921.44

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Solution

The fourth proportional to 48,460, 72,690 and 12,921.44 is: 19,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,460 : 72,690 = 12,921.44 : x
  2. Step 2: Convert to fraction form
    48,460/72,690 = 12,921.44/x
  3. Step 3: Cross multiply
    48,460x = 72,690 × 12,921.44
  4. Step 4: Simplify right side
    48,460x = 939,259,473.60
  5. Step 5: Solve for x
    x = 939,259,473.60/48,460
  6. Step 6: Final answer
    x = 19,382.16

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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.