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Finding the Fourth Proportional to 28,511.84, 42,762.72 and 7,736.96

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Solution

The fourth proportional to 28,511.84, 42,762.72 and 7,736.96 is: 11,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,511.84 : 42,762.72 = 7,736.96 : x
  2. Step 2: Convert to fraction form
    28,511.84/42,762.72 = 7,736.96/x
  3. Step 3: Cross multiply
    28,511.84x = 42,762.72 × 7,736.96
  4. Step 4: Simplify right side
    28,511.84x = 330,853,454.13
  5. Step 5: Solve for x
    x = 330,853,454.13/28,511.84
  6. Step 6: Final answer
    x = 11,604.07

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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.