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Finding the Fourth Proportional to 8,428.14, 11,629.22 and 5,242.32

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Solution

The fourth proportional to 8,428.14, 11,629.22 and 5,242.32 is: 7,233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.14 : 11,629.22 = 5,242.32 : x
  2. Step 2: Convert to fraction form
    8,428.14/11,629.22 = 5,242.32/x
  3. Step 3: Cross multiply
    8,428.14x = 11,629.22 × 5,242.32
  4. Step 4: Simplify right side
    8,428.14x = 60,964,066.38
  5. Step 5: Solve for x
    x = 60,964,066.38/8,428.14
  6. Step 6: Final answer
    x = 7,233.40

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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.