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Finding the Fourth Proportional to 28,512.84, 42,764.22 and 7,737.96

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Solution

The fourth proportional to 28,512.84, 42,764.22 and 7,737.96 is: 11,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,512.84 : 42,764.22 = 7,737.96 : x
  2. Step 2: Convert to fraction form
    28,512.84/42,764.22 = 7,737.96/x
  3. Step 3: Cross multiply
    28,512.84x = 42,764.22 × 7,737.96
  4. Step 4: Simplify right side
    28,512.84x = 330,907,823.79
  5. Step 5: Solve for x
    x = 330,907,823.79/28,512.84
  6. Step 6: Final answer
    x = 11,605.57

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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.