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Finding the Fourth Proportional to 7,713.60, 11,541.60 and 5,121.60

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Solution

The fourth proportional to 7,713.60, 11,541.60 and 5,121.60 is: 7,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.60 : 11,541.60 = 5,121.60 : x
  2. Step 2: Convert to fraction form
    7,713.60/11,541.60 = 5,121.60/x
  3. Step 3: Cross multiply
    7,713.60x = 11,541.60 × 5,121.60
  4. Step 4: Simplify right side
    7,713.60x = 59,111,458.56
  5. Step 5: Solve for x
    x = 59,111,458.56/7,713.60
  6. Step 6: Final answer
    x = 7,663.28

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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.