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Finding the Fourth Proportional to 49,675.80, 74,518.80 and 15,930

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Solution

The fourth proportional to 49,675.80, 74,518.80 and 15,930 is: 23,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,675.80 : 74,518.80 = 15,930 : x
  2. Step 2: Convert to fraction form
    49,675.80/74,518.80 = 15,930/x
  3. Step 3: Cross multiply
    49,675.80x = 74,518.80 × 15,930
  4. Step 4: Simplify right side
    49,675.80x = 1,187,084,484
  5. Step 5: Solve for x
    x = 1,187,084,484/49,675.80
  6. Step 6: Final answer
    x = 23,896.64

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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.