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Finding the Fourth Proportional to 3,071.50, 4,238.76 and 1,674.34

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Solution

The fourth proportional to 3,071.50, 4,238.76 and 1,674.34 is: 2,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.50 : 4,238.76 = 1,674.34 : x
  2. Step 2: Convert to fraction form
    3,071.50/4,238.76 = 1,674.34/x
  3. Step 3: Cross multiply
    3,071.50x = 4,238.76 × 1,674.34
  4. Step 4: Simplify right side
    3,071.50x = 7,097,125.42
  5. Step 5: Solve for x
    x = 7,097,125.42/3,071.50
  6. Step 6: Final answer
    x = 2,310.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.