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Finding the Fourth Proportional to 6,541.76, 9,808 and 3,077.12

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Solution

The fourth proportional to 6,541.76, 9,808 and 3,077.12 is: 4,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.76 : 9,808 = 3,077.12 : x
  2. Step 2: Convert to fraction form
    6,541.76/9,808 = 3,077.12/x
  3. Step 3: Cross multiply
    6,541.76x = 9,808 × 3,077.12
  4. Step 4: Simplify right side
    6,541.76x = 30,180,392.96
  5. Step 5: Solve for x
    x = 30,180,392.96/6,541.76
  6. Step 6: Final answer
    x = 4,613.50

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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.