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Finding the Fourth Proportional to 6,455, 8,908.08 and 3,660.68

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Solution

The fourth proportional to 6,455, 8,908.08 and 3,660.68 is: 5,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455 : 8,908.08 = 3,660.68 : x
  2. Step 2: Convert to fraction form
    6,455/8,908.08 = 3,660.68/x
  3. Step 3: Cross multiply
    6,455x = 8,908.08 × 3,660.68
  4. Step 4: Simplify right side
    6,455x = 32,609,630.29
  5. Step 5: Solve for x
    x = 32,609,630.29/6,455
  6. Step 6: Final answer
    x = 5,051.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.