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Finding the Fourth Proportional to 9,099, 12,557.21 and 5,516.43

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Solution

The fourth proportional to 9,099, 12,557.21 and 5,516.43 is: 7,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099 : 12,557.21 = 5,516.43 : x
  2. Step 2: Convert to fraction form
    9,099/12,557.21 = 5,516.43/x
  3. Step 3: Cross multiply
    9,099x = 12,557.21 × 5,516.43
  4. Step 4: Simplify right side
    9,099x = 69,270,942.38
  5. Step 5: Solve for x
    x = 69,270,942.38/9,099
  6. Step 6: Final answer
    x = 7,613.03

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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.