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Finding the Fourth Proportional to 6,964.86, 9,615.24 and 5,379.72

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Solution

The fourth proportional to 6,964.86, 9,615.24 and 5,379.72 is: 7,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.86 : 9,615.24 = 5,379.72 : x
  2. Step 2: Convert to fraction form
    6,964.86/9,615.24 = 5,379.72/x
  3. Step 3: Cross multiply
    6,964.86x = 9,615.24 × 5,379.72
  4. Step 4: Simplify right side
    6,964.86x = 51,727,262.88
  5. Step 5: Solve for x
    x = 51,727,262.88/6,964.86
  6. Step 6: Final answer
    x = 7,426.89

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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.