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Finding the Fourth Proportional to 9,782.45, 14,678.90 and 6,497.09

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Solution

The fourth proportional to 9,782.45, 14,678.90 and 6,497.09 is: 9,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.45 : 14,678.90 = 6,497.09 : x
  2. Step 2: Convert to fraction form
    9,782.45/14,678.90 = 6,497.09/x
  3. Step 3: Cross multiply
    9,782.45x = 14,678.90 × 6,497.09
  4. Step 4: Simplify right side
    9,782.45x = 95,370,101.92
  5. Step 5: Solve for x
    x = 95,370,101.92/9,782.45
  6. Step 6: Final answer
    x = 9,749.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.