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Finding the Fourth Proportional to 28,491.75, 42,738.84 and 7,715.25

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Solution

The fourth proportional to 28,491.75, 42,738.84 and 7,715.25 is: 11,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,491.75 : 42,738.84 = 7,715.25 : x
  2. Step 2: Convert to fraction form
    28,491.75/42,738.84 = 7,715.25/x
  3. Step 3: Cross multiply
    28,491.75x = 42,738.84 × 7,715.25
  4. Step 4: Simplify right side
    28,491.75x = 329,740,835.31
  5. Step 5: Solve for x
    x = 329,740,835.31/28,491.75
  6. Step 6: Final answer
    x = 11,573.20

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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.