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Finding the Fourth Proportional to 3,986.29, 5,502 and 2,660.50

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Solution

The fourth proportional to 3,986.29, 5,502 and 2,660.50 is: 3,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.29 : 5,502 = 2,660.50 : x
  2. Step 2: Convert to fraction form
    3,986.29/5,502 = 2,660.50/x
  3. Step 3: Cross multiply
    3,986.29x = 5,502 × 2,660.50
  4. Step 4: Simplify right side
    3,986.29x = 14,638,071
  5. Step 5: Solve for x
    x = 14,638,071/3,986.29
  6. Step 6: Final answer
    x = 3,672.10

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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.