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Finding the Fourth Proportional to 5,310, 7,327.24 and 3,071.68

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Solution

The fourth proportional to 5,310, 7,327.24 and 3,071.68 is: 4,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310 : 7,327.24 = 3,071.68 : x
  2. Step 2: Convert to fraction form
    5,310/7,327.24 = 3,071.68/x
  3. Step 3: Cross multiply
    5,310x = 7,327.24 × 3,071.68
  4. Step 4: Simplify right side
    5,310x = 22,506,936.56
  5. Step 5: Solve for x
    x = 22,506,936.56/5,310
  6. Step 6: Final answer
    x = 4,238.59

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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.