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Finding the Fourth Proportional to 28,352.80, 42,529.68 and 7,576

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Solution

The fourth proportional to 28,352.80, 42,529.68 and 7,576 is: 11,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,352.80 : 42,529.68 = 7,576 : x
  2. Step 2: Convert to fraction form
    28,352.80/42,529.68 = 7,576/x
  3. Step 3: Cross multiply
    28,352.80x = 42,529.68 × 7,576
  4. Step 4: Simplify right side
    28,352.80x = 322,204,855.68
  5. Step 5: Solve for x
    x = 322,204,855.68/28,352.80
  6. Step 6: Final answer
    x = 11,364.13

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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.