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Finding the Fourth Proportional to 7,964.16, 10,958.40 and 7,760.64

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Solution

The fourth proportional to 7,964.16, 10,958.40 and 7,760.64 is: 10,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.16 : 10,958.40 = 7,760.64 : x
  2. Step 2: Convert to fraction form
    7,964.16/10,958.40 = 7,760.64/x
  3. Step 3: Cross multiply
    7,964.16x = 10,958.40 × 7,760.64
  4. Step 4: Simplify right side
    7,964.16x = 85,044,197.38
  5. Step 5: Solve for x
    x = 85,044,197.38/7,964.16
  6. Step 6: Final answer
    x = 10,678.36

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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.