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Finding the Fourth Proportional to 9,186.72, 12,645 and 7,678.08

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Solution

The fourth proportional to 9,186.72, 12,645 and 7,678.08 is: 10,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.72 : 12,645 = 7,678.08 : x
  2. Step 2: Convert to fraction form
    9,186.72/12,645 = 7,678.08/x
  3. Step 3: Cross multiply
    9,186.72x = 12,645 × 7,678.08
  4. Step 4: Simplify right side
    9,186.72x = 97,089,321.60
  5. Step 5: Solve for x
    x = 97,089,321.60/9,186.72
  6. Step 6: Final answer
    x = 10,568.44

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1.5x scale

Why These Related Problems?

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