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Finding the Fourth Proportional to 7,957.77, 11,942.36 and 6,416.38

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Solution

The fourth proportional to 7,957.77, 11,942.36 and 6,416.38 is: 9,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.77 : 11,942.36 = 6,416.38 : x
  2. Step 2: Convert to fraction form
    7,957.77/11,942.36 = 6,416.38/x
  3. Step 3: Cross multiply
    7,957.77x = 11,942.36 × 6,416.38
  4. Step 4: Simplify right side
    7,957.77x = 76,626,719.86
  5. Step 5: Solve for x
    x = 76,626,719.86/7,957.77
  6. Step 6: Final answer
    x = 9,629.17

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1.5x scale

Why These Related Problems?

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