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Finding the Fourth Proportional to 39,600, 59,406.24 and 18,816.48

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Solution

The fourth proportional to 39,600, 59,406.24 and 18,816.48 is: 28,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,600 : 59,406.24 = 18,816.48 : x
  2. Step 2: Convert to fraction form
    39,600/59,406.24 = 18,816.48/x
  3. Step 3: Cross multiply
    39,600x = 59,406.24 × 18,816.48
  4. Step 4: Simplify right side
    39,600x = 1,117,816,326.84
  5. Step 5: Solve for x
    x = 1,117,816,326.84/39,600
  6. Step 6: Final answer
    x = 28,227.69

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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.