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Finding the Fourth Proportional to 3,670.53, 5,502.15 and 2,108.64

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Solution

The fourth proportional to 3,670.53, 5,502.15 and 2,108.64 is: 3,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.53 : 5,502.15 = 2,108.64 : x
  2. Step 2: Convert to fraction form
    3,670.53/5,502.15 = 2,108.64/x
  3. Step 3: Cross multiply
    3,670.53x = 5,502.15 × 2,108.64
  4. Step 4: Simplify right side
    3,670.53x = 11,602,053.58
  5. Step 5: Solve for x
    x = 11,602,053.58/3,670.53
  6. Step 6: Final answer
    x = 3,160.87

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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.