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Finding the Fourth Proportional to 7,880.84, 11,821.58 and 3,668.03

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Solution

The fourth proportional to 7,880.84, 11,821.58 and 3,668.03 is: 5,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.84 : 11,821.58 = 3,668.03 : x
  2. Step 2: Convert to fraction form
    7,880.84/11,821.58 = 3,668.03/x
  3. Step 3: Cross multiply
    7,880.84x = 11,821.58 × 3,668.03
  4. Step 4: Simplify right side
    7,880.84x = 43,361,948.81
  5. Step 5: Solve for x
    x = 43,361,948.81/7,880.84
  6. Step 6: Final answer
    x = 5,502.20

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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.