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Finding the Fourth Proportional to 7,789.64, 11,628.96 and 7,516.24

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Solution

The fourth proportional to 7,789.64, 11,628.96 and 7,516.24 is: 11,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.64 : 11,628.96 = 7,516.24 : x
  2. Step 2: Convert to fraction form
    7,789.64/11,628.96 = 7,516.24/x
  3. Step 3: Cross multiply
    7,789.64x = 11,628.96 × 7,516.24
  4. Step 4: Simplify right side
    7,789.64x = 87,406,054.31
  5. Step 5: Solve for x
    x = 87,406,054.31/7,789.64
  6. Step 6: Final answer
    x = 11,220.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.