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Finding the Fourth Proportional to 6,197.46, 9,287.76 and 3,420

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Solution

The fourth proportional to 6,197.46, 9,287.76 and 3,420 is: 5,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.46 : 9,287.76 = 3,420 : x
  2. Step 2: Convert to fraction form
    6,197.46/9,287.76 = 3,420/x
  3. Step 3: Cross multiply
    6,197.46x = 9,287.76 × 3,420
  4. Step 4: Simplify right side
    6,197.46x = 31,764,139.20
  5. Step 5: Solve for x
    x = 31,764,139.20/6,197.46
  6. Step 6: Final answer
    x = 5,125.35

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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.