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Finding the Fourth Proportional to 28,784, 39,739.20 and 18,865.28

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Solution

The fourth proportional to 28,784, 39,739.20 and 18,865.28 is: 26,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,784 : 39,739.20 = 18,865.28 : x
  2. Step 2: Convert to fraction form
    28,784/39,739.20 = 18,865.28/x
  3. Step 3: Cross multiply
    28,784x = 39,739.20 × 18,865.28
  4. Step 4: Simplify right side
    28,784x = 749,691,134.98
  5. Step 5: Solve for x
    x = 749,691,134.98/28,784
  6. Step 6: Final answer
    x = 26,045.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.