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Finding the Fourth Proportional to 2,310, 3,187.80 and 1,524.30

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Solution

The fourth proportional to 2,310, 3,187.80 and 1,524.30 is: 2,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310 : 3,187.80 = 1,524.30 : x
  2. Step 2: Convert to fraction form
    2,310/3,187.80 = 1,524.30/x
  3. Step 3: Cross multiply
    2,310x = 3,187.80 × 1,524.30
  4. Step 4: Simplify right side
    2,310x = 4,859,163.54
  5. Step 5: Solve for x
    x = 4,859,163.54/2,310
  6. Step 6: Final answer
    x = 2,103.53

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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.