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Finding the Fourth Proportional to 39,628, 59,428.24 and 11,540.48

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Solution

The fourth proportional to 39,628, 59,428.24 and 11,540.48 is: 17,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,628 : 59,428.24 = 11,540.48 : x
  2. Step 2: Convert to fraction form
    39,628/59,428.24 = 11,540.48/x
  3. Step 3: Cross multiply
    39,628x = 59,428.24 × 11,540.48
  4. Step 4: Simplify right side
    39,628x = 685,830,415.16
  5. Step 5: Solve for x
    x = 685,830,415.16/39,628
  6. Step 6: Final answer
    x = 17,306.71

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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.