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Finding the Fourth Proportional to 3,886.84, 5,362.50 and 2,707.48

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Solution

The fourth proportional to 3,886.84, 5,362.50 and 2,707.48 is: 3,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.84 : 5,362.50 = 2,707.48 : x
  2. Step 2: Convert to fraction form
    3,886.84/5,362.50 = 2,707.48/x
  3. Step 3: Cross multiply
    3,886.84x = 5,362.50 × 2,707.48
  4. Step 4: Simplify right side
    3,886.84x = 14,518,861.50
  5. Step 5: Solve for x
    x = 14,518,861.50/3,886.84
  6. Step 6: Final answer
    x = 3,735.39

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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.