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Finding the Fourth Proportional to 2,310, 3,188.10 and 1,378.50

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Solution

The fourth proportional to 2,310, 3,188.10 and 1,378.50 is: 1,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310 : 3,188.10 = 1,378.50 : x
  2. Step 2: Convert to fraction form
    2,310/3,188.10 = 1,378.50/x
  3. Step 3: Cross multiply
    2,310x = 3,188.10 × 1,378.50
  4. Step 4: Simplify right side
    2,310x = 4,394,795.85
  5. Step 5: Solve for x
    x = 4,394,795.85/2,310
  6. Step 6: Final answer
    x = 1,902.51

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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.