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Finding the Fourth Proportional to 9,782.72, 14,668.32 and 3,539.84

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Solution

The fourth proportional to 9,782.72, 14,668.32 and 3,539.84 is: 5,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.72 : 14,668.32 = 3,539.84 : x
  2. Step 2: Convert to fraction form
    9,782.72/14,668.32 = 3,539.84/x
  3. Step 3: Cross multiply
    9,782.72x = 14,668.32 × 3,539.84
  4. Step 4: Simplify right side
    9,782.72x = 51,923,505.87
  5. Step 5: Solve for x
    x = 51,923,505.87/9,782.72
  6. Step 6: Final answer
    x = 5,307.68

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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.