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Finding the Fourth Proportional to 9,760, 13,445.04 and 7,399.84

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Solution

The fourth proportional to 9,760, 13,445.04 and 7,399.84 is: 10,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760 : 13,445.04 = 7,399.84 : x
  2. Step 2: Convert to fraction form
    9,760/13,445.04 = 7,399.84/x
  3. Step 3: Cross multiply
    9,760x = 13,445.04 × 7,399.84
  4. Step 4: Simplify right side
    9,760x = 99,491,144.79
  5. Step 5: Solve for x
    x = 99,491,144.79/9,760
  6. Step 6: Final answer
    x = 10,193.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.