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Finding the Fourth Proportional to 7,663.50, 11,505.76 and 3,968.28

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Solution

The fourth proportional to 7,663.50, 11,505.76 and 3,968.28 is: 5,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.50 : 11,505.76 = 3,968.28 : x
  2. Step 2: Convert to fraction form
    7,663.50/11,505.76 = 3,968.28/x
  3. Step 3: Cross multiply
    7,663.50x = 11,505.76 × 3,968.28
  4. Step 4: Simplify right side
    7,663.50x = 45,658,077.29
  5. Step 5: Solve for x
    x = 45,658,077.29/7,663.50
  6. Step 6: Final answer
    x = 5,957.86

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1.5x scale

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.