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Finding the Fourth Proportional to 12,357.99, 18,537.80 and 4,961.49

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Solution

The fourth proportional to 12,357.99, 18,537.80 and 4,961.49 is: 7,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.99 : 18,537.80 = 4,961.49 : x
  2. Step 2: Convert to fraction form
    12,357.99/18,537.80 = 4,961.49/x
  3. Step 3: Cross multiply
    12,357.99x = 18,537.80 × 4,961.49
  4. Step 4: Simplify right side
    12,357.99x = 91,974,991.83
  5. Step 5: Solve for x
    x = 91,974,991.83/12,357.99
  6. Step 6: Final answer
    x = 7,442.56

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1.5x scale

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.