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Finding the Fourth Proportional to 9,415.46, 14,115.89 and 5,460.64

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Solution

The fourth proportional to 9,415.46, 14,115.89 and 5,460.64 is: 8,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.46 : 14,115.89 = 5,460.64 : x
  2. Step 2: Convert to fraction form
    9,415.46/14,115.89 = 5,460.64/x
  3. Step 3: Cross multiply
    9,415.46x = 14,115.89 × 5,460.64
  4. Step 4: Simplify right side
    9,415.46x = 77,081,771.93
  5. Step 5: Solve for x
    x = 77,081,771.93/9,415.46
  6. Step 6: Final answer
    x = 8,186.72

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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.