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Finding the Fourth Proportional to 7,004.90, 9,668.68 and 4,021

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Solution

The fourth proportional to 7,004.90, 9,668.68 and 4,021 is: 5,550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.90 : 9,668.68 = 4,021 : x
  2. Step 2: Convert to fraction form
    7,004.90/9,668.68 = 4,021/x
  3. Step 3: Cross multiply
    7,004.90x = 9,668.68 × 4,021
  4. Step 4: Simplify right side
    7,004.90x = 38,877,762.28
  5. Step 5: Solve for x
    x = 38,877,762.28/7,004.90
  6. Step 6: Final answer
    x = 5,550.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.