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Finding the Fourth Proportional to 9,620.55, 14,416.23 and 7,143.75

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Solution

The fourth proportional to 9,620.55, 14,416.23 and 7,143.75 is: 10,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.55 : 14,416.23 = 7,143.75 : x
  2. Step 2: Convert to fraction form
    9,620.55/14,416.23 = 7,143.75/x
  3. Step 3: Cross multiply
    9,620.55x = 14,416.23 × 7,143.75
  4. Step 4: Simplify right side
    9,620.55x = 102,985,943.06
  5. Step 5: Solve for x
    x = 102,985,943.06/9,620.55
  6. Step 6: Final answer
    x = 10,704.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.