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Finding the Fourth Proportional to 28,406.24, 42,608.28 and 11,762

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Solution

The fourth proportional to 28,406.24, 42,608.28 and 11,762 is: 17,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,406.24 : 42,608.28 = 11,762 : x
  2. Step 2: Convert to fraction form
    28,406.24/42,608.28 = 11,762/x
  3. Step 3: Cross multiply
    28,406.24x = 42,608.28 × 11,762
  4. Step 4: Simplify right side
    28,406.24x = 501,158,589.36
  5. Step 5: Solve for x
    x = 501,158,589.36/28,406.24
  6. Step 6: Final answer
    x = 17,642.55

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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.