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Finding the Fourth Proportional to 39,318, 58,986.72 and 11,616

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Solution

The fourth proportional to 39,318, 58,986.72 and 11,616 is: 17,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,318 : 58,986.72 = 11,616 : x
  2. Step 2: Convert to fraction form
    39,318/58,986.72 = 11,616/x
  3. Step 3: Cross multiply
    39,318x = 58,986.72 × 11,616
  4. Step 4: Simplify right side
    39,318x = 685,189,739.52
  5. Step 5: Solve for x
    x = 685,189,739.52/39,318
  6. Step 6: Final answer
    x = 17,426.87

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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.