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Finding the Fourth Proportional to 7,697.70, 11,541.69 and 3,313.98

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Solution

The fourth proportional to 7,697.70, 11,541.69 and 3,313.98 is: 4,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.70 : 11,541.69 = 3,313.98 : x
  2. Step 2: Convert to fraction form
    7,697.70/11,541.69 = 3,313.98/x
  3. Step 3: Cross multiply
    7,697.70x = 11,541.69 × 3,313.98
  4. Step 4: Simplify right side
    7,697.70x = 38,248,929.83
  5. Step 5: Solve for x
    x = 38,248,929.83/7,697.70
  6. Step 6: Final answer
    x = 4,968.88

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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.