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Finding the Fourth Proportional to 6,410.48, 9,601.80 and 3,116.64

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Solution

The fourth proportional to 6,410.48, 9,601.80 and 3,116.64 is: 4,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.48 : 9,601.80 = 3,116.64 : x
  2. Step 2: Convert to fraction form
    6,410.48/9,601.80 = 3,116.64/x
  3. Step 3: Cross multiply
    6,410.48x = 9,601.80 × 3,116.64
  4. Step 4: Simplify right side
    6,410.48x = 29,925,353.95
  5. Step 5: Solve for x
    x = 29,925,353.95/6,410.48
  6. Step 6: Final answer
    x = 4,668.19

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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.