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Finding the Fourth Proportional to 7,988.64, 11,958.30 and 5,911.08

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Solution

The fourth proportional to 7,988.64, 11,958.30 and 5,911.08 is: 8,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.64 : 11,958.30 = 5,911.08 : x
  2. Step 2: Convert to fraction form
    7,988.64/11,958.30 = 5,911.08/x
  3. Step 3: Cross multiply
    7,988.64x = 11,958.30 × 5,911.08
  4. Step 4: Simplify right side
    7,988.64x = 70,686,467.96
  5. Step 5: Solve for x
    x = 70,686,467.96/7,988.64
  6. Step 6: Final answer
    x = 8,848.37

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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.