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Finding the Fourth Proportional to 9,880.84, 13,634.82 and 5,404.36

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Solution

The fourth proportional to 9,880.84, 13,634.82 and 5,404.36 is: 7,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.84 : 13,634.82 = 5,404.36 : x
  2. Step 2: Convert to fraction form
    9,880.84/13,634.82 = 5,404.36/x
  3. Step 3: Cross multiply
    9,880.84x = 13,634.82 × 5,404.36
  4. Step 4: Simplify right side
    9,880.84x = 73,687,475.82
  5. Step 5: Solve for x
    x = 73,687,475.82/9,880.84
  6. Step 6: Final answer
    x = 7,457.61

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