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Finding the Fourth Proportional to 6,461.76, 9,684.50 and 3,500.10

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Solution

The fourth proportional to 6,461.76, 9,684.50 and 3,500.10 is: 5,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.76 : 9,684.50 = 3,500.10 : x
  2. Step 2: Convert to fraction form
    6,461.76/9,684.50 = 3,500.10/x
  3. Step 3: Cross multiply
    6,461.76x = 9,684.50 × 3,500.10
  4. Step 4: Simplify right side
    6,461.76x = 33,896,718.45
  5. Step 5: Solve for x
    x = 33,896,718.45/6,461.76
  6. Step 6: Final answer
    x = 5,245.74

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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.