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Finding the Fourth Proportional to 7,688, 11,532.72 and 2,492.48

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Solution

The fourth proportional to 7,688, 11,532.72 and 2,492.48 is: 3,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688 : 11,532.72 = 2,492.48 : x
  2. Step 2: Convert to fraction form
    7,688/11,532.72 = 2,492.48/x
  3. Step 3: Cross multiply
    7,688x = 11,532.72 × 2,492.48
  4. Step 4: Simplify right side
    7,688x = 28,745,073.95
  5. Step 5: Solve for x
    x = 28,745,073.95/7,688
  6. Step 6: Final answer
    x = 3,738.95

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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.