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Finding the Fourth Proportional to 9,900.14, 13,661.60 and 5,423

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Solution

The fourth proportional to 9,900.14, 13,661.60 and 5,423 is: 7,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.14 : 13,661.60 = 5,423 : x
  2. Step 2: Convert to fraction form
    9,900.14/13,661.60 = 5,423/x
  3. Step 3: Cross multiply
    9,900.14x = 13,661.60 × 5,423
  4. Step 4: Simplify right side
    9,900.14x = 74,086,856.80
  5. Step 5: Solve for x
    x = 74,086,856.80/9,900.14
  6. Step 6: Final answer
    x = 7,483.42

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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.