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Finding the Fourth Proportional to 28,651.99, 42,977.03 and 11,784.42

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Solution

The fourth proportional to 28,651.99, 42,977.03 and 11,784.42 is: 17,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,651.99 : 42,977.03 = 11,784.42 : x
  2. Step 2: Convert to fraction form
    28,651.99/42,977.03 = 11,784.42/x
  3. Step 3: Cross multiply
    28,651.99x = 42,977.03 × 11,784.42
  4. Step 4: Simplify right side
    28,651.99x = 506,459,371.87
  5. Step 5: Solve for x
    x = 506,459,371.87/28,651.99
  6. Step 6: Final answer
    x = 17,676.24

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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.