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Finding the Fourth Proportional to 49,338, 74,007 and 12,402

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Solution

The fourth proportional to 49,338, 74,007 and 12,402 is: 18,603

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,338 : 74,007 = 12,402 : x
  2. Step 2: Convert to fraction form
    49,338/74,007 = 12,402/x
  3. Step 3: Cross multiply
    49,338x = 74,007 × 12,402
  4. Step 4: Simplify right side
    49,338x = 917,834,814
  5. Step 5: Solve for x
    x = 917,834,814/49,338
  6. Step 6: Final answer
    x = 18,603

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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.