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Finding the Fourth Proportional to 7,214, 10,802.24 and 6,180.64

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Solution

The fourth proportional to 7,214, 10,802.24 and 6,180.64 is: 9,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214 : 10,802.24 = 6,180.64 : x
  2. Step 2: Convert to fraction form
    7,214/10,802.24 = 6,180.64/x
  3. Step 3: Cross multiply
    7,214x = 10,802.24 × 6,180.64
  4. Step 4: Simplify right side
    7,214x = 66,764,756.63
  5. Step 5: Solve for x
    x = 66,764,756.63/7,214
  6. Step 6: Final answer
    x = 9,254.89

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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.