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Finding the Fourth Proportional to 51,458, 77,187 and 12,546

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Solution

The fourth proportional to 51,458, 77,187 and 12,546 is: 18,819

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,458 : 77,187 = 12,546 : x
  2. Step 2: Convert to fraction form
    51,458/77,187 = 12,546/x
  3. Step 3: Cross multiply
    51,458x = 77,187 × 12,546
  4. Step 4: Simplify right side
    51,458x = 968,388,102
  5. Step 5: Solve for x
    x = 968,388,102/51,458
  6. Step 6: Final answer
    x = 18,819

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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.