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Finding the Fourth Proportional to 7,764.58, 11,590.49 and 7,186.36

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Solution

The fourth proportional to 7,764.58, 11,590.49 and 7,186.36 is: 10,727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.58 : 11,590.49 = 7,186.36 : x
  2. Step 2: Convert to fraction form
    7,764.58/11,590.49 = 7,186.36/x
  3. Step 3: Cross multiply
    7,764.58x = 11,590.49 × 7,186.36
  4. Step 4: Simplify right side
    7,764.58x = 83,293,433.72
  5. Step 5: Solve for x
    x = 83,293,433.72/7,764.58
  6. Step 6: Final answer
    x = 10,727.36

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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.