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Finding the Fourth Proportional to 10,682.62, 14,748.16 and 7,102.42

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Solution

The fourth proportional to 10,682.62, 14,748.16 and 7,102.42 is: 9,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.62 : 14,748.16 = 7,102.42 : x
  2. Step 2: Convert to fraction form
    10,682.62/14,748.16 = 7,102.42/x
  3. Step 3: Cross multiply
    10,682.62x = 14,748.16 × 7,102.42
  4. Step 4: Simplify right side
    10,682.62x = 104,747,626.55
  5. Step 5: Solve for x
    x = 104,747,626.55/10,682.62
  6. Step 6: Final answer
    x = 9,805.42

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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.