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Finding the Fourth Proportional to 28,496.25, 42,744.38 and 7,719.75

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Solution

The fourth proportional to 28,496.25, 42,744.38 and 7,719.75 is: 11,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,496.25 : 42,744.38 = 7,719.75 : x
  2. Step 2: Convert to fraction form
    28,496.25/42,744.38 = 7,719.75/x
  3. Step 3: Cross multiply
    28,496.25x = 42,744.38 × 7,719.75
  4. Step 4: Simplify right side
    28,496.25x = 329,975,888.91
  5. Step 5: Solve for x
    x = 329,975,888.91/28,496.25
  6. Step 6: Final answer
    x = 11,579.63

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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.