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Finding the Fourth Proportional to 6,459.56, 9,680.08 and 3,680.50

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Solution

The fourth proportional to 6,459.56, 9,680.08 and 3,680.50 is: 5,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.56 : 9,680.08 = 3,680.50 : x
  2. Step 2: Convert to fraction form
    6,459.56/9,680.08 = 3,680.50/x
  3. Step 3: Cross multiply
    6,459.56x = 9,680.08 × 3,680.50
  4. Step 4: Simplify right side
    6,459.56x = 35,627,534.44
  5. Step 5: Solve for x
    x = 35,627,534.44/6,459.56
  6. Step 6: Final answer
    x = 5,515.47

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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.