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Finding the Fourth Proportional to 9,786.03, 14,670.41 and 7,487.79

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Solution

The fourth proportional to 9,786.03, 14,670.41 and 7,487.79 is: 11,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.03 : 14,670.41 = 7,487.79 : x
  2. Step 2: Convert to fraction form
    9,786.03/14,670.41 = 7,487.79/x
  3. Step 3: Cross multiply
    9,786.03x = 14,670.41 × 7,487.79
  4. Step 4: Simplify right side
    9,786.03x = 109,848,911.85
  5. Step 5: Solve for x
    x = 109,848,911.85/9,786.03
  6. Step 6: Final answer
    x = 11,225.07

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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.