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Finding the Fourth Proportional to 5,188, 7,160.04 and 2,950.21

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Solution

The fourth proportional to 5,188, 7,160.04 and 2,950.21 is: 4,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188 : 7,160.04 = 2,950.21 : x
  2. Step 2: Convert to fraction form
    5,188/7,160.04 = 2,950.21/x
  3. Step 3: Cross multiply
    5,188x = 7,160.04 × 2,950.21
  4. Step 4: Simplify right side
    5,188x = 21,123,621.61
  5. Step 5: Solve for x
    x = 21,123,621.61/5,188
  6. Step 6: Final answer
    x = 4,071.63

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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.