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Finding the Fourth Proportional to 49,838, 74,758.44 and 12,902

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Solution

The fourth proportional to 49,838, 74,758.44 and 12,902 is: 19,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,838 : 74,758.44 = 12,902 : x
  2. Step 2: Convert to fraction form
    49,838/74,758.44 = 12,902/x
  3. Step 3: Cross multiply
    49,838x = 74,758.44 × 12,902
  4. Step 4: Simplify right side
    49,838x = 964,533,392.88
  5. Step 5: Solve for x
    x = 964,533,392.88/49,838
  6. Step 6: Final answer
    x = 19,353.37

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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.