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Finding the Fourth Proportional to 28,524, 42,786.18 and 7,747.68

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Solution

The fourth proportional to 28,524, 42,786.18 and 7,747.68 is: 11,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,524 : 42,786.18 = 7,747.68 : x
  2. Step 2: Convert to fraction form
    28,524/42,786.18 = 7,747.68/x
  3. Step 3: Cross multiply
    28,524x = 42,786.18 × 7,747.68
  4. Step 4: Simplify right side
    28,524x = 331,493,631.06
  5. Step 5: Solve for x
    x = 331,493,631.06/28,524
  6. Step 6: Final answer
    x = 11,621.57

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1.5x scale

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.